Position from 3 dimensional acceleration data?

Question

Per a previous post on Mathematica StackExchange here I'm trying to utilize 3-axis accelerometer data to determine approximate 3D position. I wanted to start with a simple case. To this end I've employed a hand drill, wood plate and HOBO Pendant G Logger. The accelerometer was mounted at one edge of the plate and rotated by the drill at approximately 20 rpm. Drill was held in a vice with the z-axis perpendicular and x- and y- axes in the plane of rotation. Sample rate was 100 Hz.

A five-second snip of the data is presented below:

time,x_g,y_g,z_g,sum_g,x_deg,y_deg,z_deg
15.00,0.925,0.525,0.825,1.346,157.7,121.7,145.6
15.01,0.975,0.525,1.05,1.526,167.2,121.7,180
15.02,0.925,0.575,1.175,1.602,157.7,125.1,180
15.03,1.075,0.525,1.025,1.575,180,121.7,180
15.04,0.9,0.525,1.15,1.552,154.2,121.7,180
15.05,1,0.5,1,1.5,180,120,180
15.06,0.85,0.525,0.925,1.362,148.2,121.7,157.7
15.07,0.925,0.55,0.7,1.284,157.7,123.4,134.4
15.08,0.825,0.5,1,1.389,145.6,120,180
15.09,1.05,0.65,1.125,1.671,180,130.5,180
15.10,1.075,0.55,1.1,1.633,180,123.4,180
15.11,1.025,0.575,1.1,1.61,180,125.1,180
15.12,1.05,0.525,1.25,1.715,180,121.7,180
15.13,1.075,0.625,1.1,1.66,180,128.7,180
15.14,0.875,0.5,0.95,1.385,151,120,161.8
15.15,0.925,0.475,0.775,1.297,157.7,118.4,140.8
15.16,0.925,0.5,1.075,1.504,157.7,120,180
15.17,1,0.575,1.15,1.629,180,125.1,180
15.18,1,0.6,1.025,1.553,180,126.9,180
15.19,1.1,0.65,1.175,1.736,180,130.5,180
15.20,1.1,0.6,1.325,1.824,180,126.9,180
15.21,0.975,0.575,0.975,1.494,167.2,125.1,167.2
15.22,0.9,0.45,0.7,1.226,154.2,116.7,134.4
15.23,0.925,0.55,0.9,1.403,157.7,123.4,154.2
15.24,0.95,0.575,1.075,1.546,161.8,125.1,180
15.25,0.975,0.575,1.1,1.578,167.2,125.1,180
15.26,1.025,0.55,1,1.534,180,123.4,180
15.27,1.025,0.6,1.2,1.688,180,126.9,180
15.28,0.95,0.65,1.25,1.699,161.8,130.5,180
15.29,1.025,0.575,1.075,1.593,180,125.1,180
15.30,0.925,0.625,0.875,1.418,157.7,128.7,151
15.31,0.875,0.45,0.85,1.3,151,116.7,148.2
15.32,0.9,0.575,0.85,1.365,154.2,125.1,148.2
15.33,0.925,0.475,0.875,1.359,157.7,118.4,151
15.34,0.975,0.6,0.975,1.504,167.2,126.9,167.2
15.35,0.975,0.625,1.225,1.686,167.2,128.7,180
15.36,1.05,0.625,1.35,1.821,180,128.7,180
15.37,0.975,0.6,0.975,1.504,167.2,126.9,167.2
15.38,0.825,0.5,0.825,1.269,145.6,120,145.6
15.39,0.825,0.575,0.9,1.35,145.6,125.1,154.2
15.40,0.9,0.45,0.9,1.35,154.2,116.7,154.2
15.41,0.9,0.55,0.975,1.436,154.2,123.4,167.2
15.42,0.975,0.55,1.15,1.605,167.2,123.4,180
15.43,0.95,0.65,1.15,1.627,161.8,130.5,180
15.44,0.95,0.625,1.05,1.548,161.8,128.7,180
15.45,0.825,0.6,1,1.429,145.6,126.9,180
15.46,0.875,0.525,0.975,1.411,151,121.7,167.2
15.47,0.875,0.575,1.075,1.501,151,125.1,180
15.48,0.975,0.525,1,1.492,167.2,121.7,180
15.49,0.825,0.55,1.05,1.444,145.6,123.4,180
15.50,0.975,0.55,1.025,1.518,167.2,123.4,180
15.51,0.9,0.55,1.15,1.56,154.2,123.4,180
15.52,0.975,0.575,1.15,1.614,167.2,125.1,180
15.53,0.9,0.5,1.075,1.488,154.2,120,180
15.54,0.675,0.75,0.875,1.336,132.5,138.6,151
15.55,0.85,0.525,0.85,1.312,148.2,121.7,148.2
15.56,0.9,0.475,0.975,1.409,154.2,118.4,167.2
15.57,0.9,0.55,1.15,1.56,154.2,123.4,180
15.58,0.925,0.525,1.15,1.566,157.7,121.7,180
15.59,0.875,0.525,0.95,1.394,151,121.7,161.8
15.60,0.75,0.575,0.95,1.34,138.6,125.1,161.8
15.61,0.9,0.6,0.975,1.456,154.2,126.9,167.2
15.62,0.875,0.475,1,1.411,151,118.4,180
15.63,0.975,0.65,1.125,1.624,167.2,130.5,180
15.64,0.975,0.5,1.325,1.719,167.2,120,180
15.65,0.925,0.55,1.175,1.593,157.7,123.4,180
15.66,0.9,0.55,1.05,1.488,154.2,123.4,180
15.67,0.8,0.45,0.85,1.251,143.1,116.7,148.2
15.68,0.8,0.55,0.8,1.258,143.1,123.4,143.1
15.69,0.875,0.525,1.025,1.446,151,121.7,180
15.70,0.95,0.575,1.075,1.546,161.8,125.1,180
15.71,0.95,0.425,1.025,1.461,161.8,115.2,180
15.72,0.875,0.55,1.05,1.473,151,123.4,180
15.73,0.875,0.425,0.95,1.36,151,115.2,161.8
15.74,0.825,0.575,0.875,1.333,145.6,125.1,151
15.75,0.775,0.45,0.975,1.324,140.8,116.7,167.2
15.76,0.925,0.525,0.85,1.362,157.7,121.7,148.2
15.77,0.9,0.475,1.05,1.462,154.2,118.4,180
15.78,0.925,0.475,1.025,1.46,157.7,118.4,180
15.79,0.9,0.475,1.1,1.499,154.2,118.4,180
15.80,0.9,0.475,1.1,1.499,154.2,118.4,180
15.81,0.875,0.575,1.075,1.501,151,125.1,180
15.82,0.95,0.5,1.05,1.502,161.8,120,180
15.83,0.925,0.6,1.075,1.54,157.7,126.9,180
15.84,0.925,0.5,1.025,1.468,157.7,120,180
15.85,0.825,0.475,0.925,1.327,145.6,118.4,157.7
15.86,0.925,0.45,0.825,1.319,157.7,116.7,145.6
15.87,0.95,0.475,1.075,1.511,161.8,118.4,180
15.88,0.975,0.6,1.25,1.695,167.2,126.9,180
15.89,0.95,0.525,1.125,1.563,161.8,121.7,180
15.90,0.95,0.575,0.95,1.461,161.8,125.1,161.8
15.91,0.925,0.575,1.125,1.566,157.7,125.1,180
15.92,0.925,0.55,1.025,1.486,157.7,123.4,180
15.93,0.975,0.475,0.825,1.363,167.2,118.4,145.6
15.94,1,0.475,0.975,1.475,180,118.4,167.2
15.95,1,0.575,1.15,1.629,180,125.1,180
15.96,1.025,0.575,1.275,1.734,180,125.1,180
15.97,0.975,0.65,1.125,1.624,167.2,130.5,180
15.98,0.875,0.475,1,1.411,151,118.4,180
15.99,0.925,0.575,0.875,1.397,157.7,125.1,151
16.00,0.9,0.475,0.825,1.31,154.2,118.4,145.6
16.01,0.925,0.45,0.9,1.367,157.7,116.7,154.2
16.02,1.05,0.575,1.1,1.626,180,125.1,180
16.03,1.025,0.525,1.225,1.681,180,121.7,180
16.04,0.95,0.65,1.1,1.592,161.8,130.5,180
16.05,0.925,0.45,0.9,1.367,157.7,116.7,154.2
16.06,0.875,0.5,0.675,1.213,151,120,132.5
16.07,0.825,0.45,0.85,1.267,145.6,116.7,148.2
16.08,0.9,0.525,1.025,1.462,154.2,121.7,180
16.09,1.075,0.625,1.075,1.644,180,128.7,180
16.10,0.95,0.5,1.25,1.648,161.8,120,180
16.11,0.925,0.625,0.975,1.482,157.7,128.7,167.2
16.12,0.975,0.625,1.2,1.668,167.2,128.7,180
16.13,1,0.6,0.975,1.52,180,126.9,167.2
16.14,0.85,0.5,0.725,1.224,148.2,120,136.5
16.15,0.875,0.55,1,1.438,151,123.4,180
16.16,1.05,0.525,1.225,1.697,180,121.7,180
16.17,1.025,0.7,1.325,1.816,180,134.4,180
16.18,1.025,0.525,1.125,1.61,180,121.7,180
16.19,0.9,0.625,0.975,1.467,154.2,128.7,167.2
16.20,0.875,0.5,1.025,1.437,151,120,180
16.21,0.9,0.575,0.8,1.334,154.2,125.1,143.1
16.22,0.85,0.525,0.95,1.379,148.2,121.7,161.8
16.23,0.95,0.65,1.15,1.627,161.8,130.5,180
16.24,0.975,0.55,1.075,1.552,167.2,123.4,180
16.25,0.925,0.575,1.075,1.53,157.7,125.1,180
16.26,0.925,0.575,1.05,1.513,157.7,125.1,180
16.27,0.875,0.625,0.975,1.452,151,128.7,167.2
16.28,0.9,0.525,0.925,1.393,154.2,121.7,157.7
16.29,0.875,0.575,0.9,1.381,151,125.1,154.2
16.30,0.925,0.525,0.95,1.426,157.7,121.7,161.8
16.31,0.925,0.525,1.125,1.548,157.7,121.7,180
16.32,0.925,0.6,1.1,1.557,157.7,126.9,180
16.33,0.925,0.65,1.125,1.595,157.7,130.5,180
16.34,0.9,0.6,1.025,1.49,154.2,126.9,180
16.35,0.825,0.575,0.825,1.301,145.6,125.1,145.6
16.36,0.875,0.525,1.025,1.446,151,121.7,180
16.37,0.875,0.625,1.1,1.538,151,128.7,180
16.38,0.925,0.5,1.075,1.504,157.7,120,180
16.39,0.95,0.575,1.025,1.511,161.8,125.1,180
16.40,0.875,0.5,1.1,1.492,151,120,180
16.41,0.9,0.625,1.075,1.535,154.2,128.7,180
16.42,0.9,0.5,1.2,1.581,154.2,120,180
16.43,0.875,0.6,0.95,1.424,151,126.9,161.8
16.44,0.875,0.525,1,1.429,151,121.7,180
16.45,0.9,0.575,1.05,1.498,154.2,125.1,180
16.46,0.925,0.525,1.1,1.53,157.7,121.7,180
16.47,0.875,0.525,1.1,1.5,151,121.7,180
16.48,0.875,0.525,1,1.429,151,121.7,180
16.49,0.75,0.475,0.9,1.264,138.6,118.4,154.2
16.50,0.85,0.625,0.95,1.42,148.2,128.7,161.8
16.51,0.9,0.5,1.025,1.453,154.2,120,180
16.52,0.95,0.525,1.025,1.493,161.8,121.7,180
16.53,0.875,0.5,1.175,1.548,151,120,180
16.54,0.95,0.475,1.1,1.529,161.8,118.4,180
16.55,0.9,0.525,0.975,1.427,154.2,121.7,167.2
16.56,0.875,0.475,1.05,1.447,151,118.4,180
16.57,0.85,0.65,1.1,1.535,148.2,130.5,180
16.58,0.725,0.525,1.075,1.399,136.5,121.7,180
16.59,0.875,0.475,0.85,1.309,151,118.4,148.2
16.60,0.9,0.5,1.05,1.471,154.2,120,180
16.61,0.9,0.525,1.2,1.589,154.2,121.7,180
16.62,0.9,0.525,1.125,1.533,154.2,121.7,180
16.63,0.875,0.525,0.95,1.394,151,121.7,161.8
16.64,0.85,0.5,0.975,1.387,148.2,120,167.2
16.65,0.925,0.525,0.975,1.443,157.7,121.7,167.2
16.66,0.925,0.525,1,1.46,157.7,121.7,180
16.67,0.925,0.525,1.025,1.477,157.7,121.7,180
16.68,0.9,0.5,1.05,1.471,154.2,120,180
16.69,0.9,0.475,0.95,1.392,154.2,118.4,161.8
16.70,0.875,0.525,0.925,1.377,151,121.7,157.7
16.71,0.85,0.475,1.15,1.507,148.2,118.4,180
16.72,0.925,0.5,1.05,1.486,157.7,120,180
16.73,0.95,0.5,0.775,1.324,161.8,120,140.8
16.74,0.875,0.475,0.925,1.359,151,118.4,157.7
16.75,0.9,0.475,1.075,1.48,154.2,118.4,180
16.76,0.975,0.5,0.975,1.467,167.2,120,167.2
16.77,0.95,0.5,1.075,1.519,161.8,120,180
16.78,1,0.525,1.1,1.577,180,121.7,180
16.79,0.9,0.525,1.1,1.515,154.2,121.7,180
16.80,0.975,0.575,0.95,1.478,167.2,125.1,161.8
16.81,0.875,0.475,0.975,1.394,151,118.4,167.2
16.82,0.95,0.575,0.95,1.461,161.8,125.1,161.8
16.83,0.975,0.525,1,1.492,167.2,121.7,180
16.84,1.05,0.525,1.025,1.558,180,121.7,180
16.85,1.025,0.525,1.3,1.737,180,121.7,180
16.86,1.025,0.55,1.2,1.671,180,123.4,180
16.87,0.925,0.5,0.975,1.434,157.7,120,167.2
16.88,0.85,0.55,1,1.423,148.2,123.4,180
16.89,0.975,0.5,1.075,1.535,167.2,120,180
16.90,1,0.625,1.05,1.579,180,128.7,180
16.91,1,0.6,1.2,1.673,180,126.9,180
16.92,1.075,0.625,1.1,1.66,180,128.7,180
16.93,0.925,0.55,1.025,1.486,157.7,123.4,180
16.94,0.975,0.525,0.9,1.427,167.2,121.7,154.2
16.95,0.875,0.5,1.025,1.437,151,120,180
16.96,0.925,0.525,0.875,1.377,157.7,121.7,151
16.97,0.825,0.5,0.9,1.319,145.6,120,154.2
16.98,1,0.6,0.975,1.52,180,126.9,167.2
16.99,1.025,0.55,1.275,1.726,180,123.4,180
17.00,1.025,0.65,1.1,1.638,180,130.5,180
17.01,0.925,0.55,1.075,1.521,157.7,123.4,180
17.02,0.925,0.6,1.15,1.593,157.7,126.9,180
17.03,0.95,0.55,0.975,1.468,161.8,123.4,167.2
17.04,0.95,0.6,1.075,1.555,161.8,126.9,180
17.05,0.975,0.6,1.175,1.641,167.2,126.9,180
17.06,0.975,0.575,1.275,1.705,167.2,125.1,180
17.07,0.975,0.575,1.025,1.527,167.2,125.1,180
17.08,0.9,0.5,0.925,1.384,154.2,120,157.7
17.09,0.9,0.55,1.075,1.506,154.2,123.4,180
17.10,0.925,0.575,1.1,1.548,157.7,125.1,180
17.11,0.925,0.625,0.975,1.482,157.7,128.7,167.2
17.12,0.975,0.675,1.175,1.669,167.2,132.5,180
17.13,0.975,0.65,1.175,1.659,167.2,130.5,180
17.14,0.9,0.575,1,1.463,154.2,125.1,180
17.15,0.875,0.475,0.925,1.359,151,118.4,157.7
17.16,0.875,0.525,0.9,1.361,151,121.7,154.2
17.17,0.875,0.575,1,1.448,151,125.1,180
17.18,0.875,0.525,1.025,1.446,151,121.7,180
17.19,0.9,0.575,0.95,1.429,154.2,125.1,161.8
17.20,0.875,0.5,1.075,1.474,151,120,180
17.21,0.925,0.525,1.1,1.53,157.7,121.7,180
17.22,0.875,0.55,1.025,1.456,151,123.4,180
17.23,0.9,0.525,1.025,1.462,154.2,121.7,180
17.24,0.825,0.575,1,1.418,145.6,125.1,180
17.25,0.825,0.7,1.025,1.49,145.6,134.4,180
17.26,0.925,0.475,1.15,1.55,157.7,118.4,180
17.27,0.825,0.6,1.025,1.446,145.6,126.9,180
17.28,0.875,0.525,1.05,1.464,151,121.7,180
17.29,0.875,0.55,1.025,1.456,151,123.4,180
17.30,0.9,0.5,0.975,1.418,154.2,120,167.2
17.31,0.9,0.55,1.125,1.542,154.2,123.4,180
17.32,0.8,0.625,1.075,1.479,143.1,128.7,180
17.33,0.8,0.5,0.925,1.321,143.1,120,157.7
17.34,0.9,0.5,1.05,1.471,154.2,120,180
17.35,0.825,0.575,1.025,1.436,145.6,125.1,180
17.36,0.825,0.525,1,1.399,145.6,121.7,180
17.37,0.925,0.525,0.975,1.443,157.7,121.7,167.2
17.38,0.825,0.425,0.975,1.346,145.6,115.2,167.2
17.39,0.85,0.575,1,1.433,148.2,125.1,180
17.40,0.875,0.475,1.075,1.465,151,118.4,180
17.41,0.775,0.55,0.925,1.326,140.8,123.4,157.7
17.42,0.875,0.5,0.975,1.402,151,120,167.2
17.43,0.85,0.65,1.025,1.482,148.2,130.5,180
17.44,0.925,0.475,1.1,1.514,157.7,118.4,180
17.45,0.975,0.55,1.1,1.569,167.2,123.4,180
17.46,0.9,0.45,1.075,1.472,154.2,116.7,180
17.47,0.85,0.525,0.925,1.362,148.2,121.7,157.7
17.48,0.8,0.525,0.925,1.331,143.1,121.7,157.7
17.49,0.85,0.425,0.825,1.258,148.2,115.2,145.6
17.50,0.85,0.525,0.825,1.296,148.2,121.7,145.6
17.51,0.875,0.4,1,1.388,151,113.6,180
17.52,0.975,0.525,1.05,1.526,167.2,121.7,180
17.53,0.925,0.5,1.05,1.486,157.7,120,180
17.54,0.9,0.525,1.075,1.497,154.2,121.7,180
17.55,0.875,0.6,1.175,1.583,151,126.9,180
17.56,0.875,0.525,1.05,1.464,151,121.7,180
17.57,1,0.525,0.775,1.37,180,121.7,140.8
17.58,0.775,0.475,1.1,1.427,140.8,118.4,180
17.59,0.975,0.425,0.975,1.443,167.2,115.2,167.2
17.60,0.9,0.5,0.975,1.418,154.2,120,167.2
17.61,0.925,0.475,1.025,1.46,157.7,118.4,180
17.62,0.85,0.5,1,1.404,148.2,120,180
17.63,0.95,0.55,0.85,1.388,161.8,123.4,148.2
17.64,0.875,0.475,0.975,1.394,151,118.4,167.2
17.65,0.875,0.475,0.825,1.293,151,118.4,145.6
17.66,0.875,0.425,0.925,1.342,151,115.2,157.7
17.67,0.975,0.625,1.05,1.563,167.2,128.7,180
17.68,1.025,0.525,1.25,1.7,180,121.7,180
17.69,1.075,0.65,1.275,1.79,180,130.5,180
17.70,1.025,0.575,1.15,1.644,180,125.1,180
17.71,0.85,0.475,0.8,1.26,148.2,118.4,143.1
17.72,0.825,0.45,0.875,1.284,145.6,116.7,151
17.73,0.85,0.475,0.85,1.293,148.2,118.4,148.2
17.74,0.825,0.475,1,1.381,145.6,118.4,180
17.75,1,0.6,1.1,1.603,180,126.9,180
17.76,0.975,0.525,1.275,1.689,167.2,121.7,180
17.77,1.125,0.625,1.175,1.743,180,128.7,180
17.78,0.925,0.525,1.35,1.719,157.7,121.7,180
17.79,1,0.625,1.025,1.562,180,128.7,180
17.80,0.95,0.55,0.95,1.452,161.8,123.4,161.8
17.81,0.975,0.575,1.025,1.527,167.2,125.1,180
17.82,0.95,0.575,1.15,1.599,161.8,125.1,180
17.83,1,0.525,1,1.509,180,121.7,180
17.84,0.975,0.525,0.975,1.475,167.2,121.7,167.2
17.85,0.9,0.525,0.975,1.427,154.2,121.7,167.2
17.86,0.925,0.5,0.95,1.417,157.7,120,161.8
17.87,0.925,0.55,0.85,1.371,157.7,123.4,148.2
17.88,0.9,0.6,1.1,1.543,154.2,126.9,180
17.89,1,0.6,1.1,1.603,180,126.9,180
17.90,1.025,0.55,1.125,1.618,180,123.4,180
17.91,0.975,0.575,1.15,1.614,167.2,125.1,180
17.92,0.9,0.525,0.975,1.427,154.2,121.7,167.2
17.93,0.85,0.55,0.9,1.355,148.2,123.4,154.2
17.94,0.9,0.6,1.15,1.579,154.2,126.9,180
17.95,0.975,0.625,1.175,1.65,167.2,128.7,180
17.96,1.025,0.7,1.225,1.744,180,134.4,180
17.97,1.025,0.625,1.3,1.77,180,128.7,180
17.98,0.975,0.575,1.075,1.561,167.2,125.1,180
17.99,0.925,0.525,1.05,1.495,157.7,121.7,180
18.00,0.9,0.625,1.075,1.535,154.2,128.7,180
18.01,0.9,0.575,1,1.463,154.2,125.1,180
18.02,0.875,0.6,1.025,1.475,151,126.9,180
18.03,0.95,0.525,1,1.476,161.8,121.7,180
18.04,0.925,0.575,1.175,1.602,157.7,125.1,180
18.05,0.975,0.525,1.175,1.615,167.2,121.7,180
18.06,0.875,0.6,1,1.458,151,126.9,180
18.07,0.875,0.525,0.975,1.411,151,121.7,167.2
18.08,0.8,0.6,1.025,1.432,143.1,126.9,180
18.09,0.95,0.575,0.975,1.478,161.8,125.1,167.2
18.10,0.925,0.575,1.15,1.584,157.7,125.1,180
18.11,0.925,0.575,1.125,1.566,157.7,125.1,180
18.12,0.875,0.575,1.025,1.465,151,125.1,180
18.13,0.95,0.5,0.975,1.45,161.8,120,167.2
18.14,0.825,0.525,0.975,1.381,145.6,121.7,167.2
18.15,0.875,0.575,1.025,1.465,151,125.1,180
18.16,0.825,0.525,0.975,1.381,145.6,121.7,167.2
18.17,0.875,0.575,0.95,1.414,151,125.1,161.8
18.18,0.925,0.575,1.025,1.496,157.7,125.1,180
18.19,0.875,0.525,1.025,1.446,151,121.7,180
18.20,0.875,0.525,1.075,1.482,151,121.7,180
18.21,0.9,0.525,1.1,1.515,154.2,121.7,180
18.22,0.875,0.525,0.975,1.411,151,121.7,167.2
18.23,0.875,0.625,1.05,1.503,151,128.7,180
18.24,0.875,0.525,1.1,1.5,151,121.7,180
18.25,0.875,0.55,0.975,1.421,151,123.4,167.2
18.26,0.95,0.5,1.05,1.502,161.8,120,180
18.27,0.875,0.475,1.125,1.502,151,118.4,180
18.28,0.925,0.525,1.05,1.495,157.7,121.7,180
18.29,0.925,0.5,0.925,1.4,157.7,120,157.7
18.30,0.75,0.625,0.85,1.294,138.6,128.7,148.2
18.31,0.85,0.5,1.05,1.44,148.2,120,180
18.32,0.975,0.625,1.05,1.563,167.2,128.7,180
18.33,0.875,0.5,1.225,1.586,151,120,180
18.34,0.925,0.6,1.15,1.593,157.7,126.9,180
18.35,0.925,0.5,1,1.451,157.7,120,180
18.36,0.875,0.55,0.95,1.404,151,123.4,161.8
18.37,0.925,0.5,1.1,1.522,157.7,120,180
18.38,0.95,0.55,1.1,1.554,161.8,123.4,180
18.39,0.875,0.525,1.025,1.446,151,121.7,180
18.40,0.925,0.475,0.925,1.392,157.7,118.4,157.7
18.41,0.875,0.55,0.9,1.37,151,123.4,154.2
18.42,0.9,0.475,0.95,1.392,154.2,118.4,161.8
18.43,0.95,0.525,0.8,1.348,161.8,121.7,143.1
18.44,0.95,0.5,0.95,1.434,161.8,120,161.8
18.45,0.975,0.6,1.2,1.659,167.2,126.9,180
18.46,0.95,0.6,1.2,1.644,161.8,126.9,180
18.47,1,0.55,0.95,1.485,180,123.4,161.8
18.48,0.9,0.525,1,1.444,154.2,121.7,180
18.49,0.925,0.55,0.875,1.387,157.7,123.4,151
18.50,0.875,0.425,0.85,1.292,151,115.2,148.2
18.51,0.975,0.525,0.85,1.396,167.2,121.7,148.2
18.52,0.95,0.475,1.05,1.494,161.8,118.4,180
18.53,1.075,0.625,0.975,1.58,180,128.7,167.2
18.54,0.975,0.55,1.175,1.623,167.2,123.4,180
18.55,1.025,0.55,1.175,1.653,180,123.4,180
18.56,1.025,0.625,1.1,1.628,180,128.7,180
18.57,0.95,0.45,0.925,1.4,161.8,116.7,157.7
18.58,0.925,0.6,0.9,1.423,157.7,126.9,154.2
18.59,0.925,0.4,0.975,1.402,157.7,113.6,167.2
18.60,0.9,0.675,0.975,1.489,154.2,132.5,167.2
18.61,1,0.475,1.125,1.578,180,118.4,180
18.62,1.15,0.7,1.175,1.787,180,134.4,180
18.63,1.025,0.525,1.45,1.852,180,121.7,180
18.64,1,0.6,0.925,1.488,180,126.9,157.7
18.65,0.975,0.45,0.825,1.354,167.2,116.7,145.6
18.66,0.95,0.525,0.925,1.426,161.8,121.7,157.7
18.67,0.875,0.525,0.825,1.312,151,121.7,145.6
18.68,0.9,0.525,1.15,1.552,154.2,121.7,180
18.69,1.025,0.6,1.15,1.653,180,126.9,180
18.70,1,0.6,1.075,1.586,180,126.9,180
18.71,0.975,0.65,1.075,1.59,167.2,130.5,180
18.72,1.025,0.55,1.175,1.653,180,123.4,180
18.73,1.025,0.575,0.95,1.511,180,125.1,161.8
18.74,0.95,0.5,1.025,1.484,161.8,120,180
18.75,1,0.6,1,1.536,180,126.9,180
18.76,0.95,0.6,1.2,1.644,161.8,126.9,180
18.77,0.925,0.65,1.225,1.667,157.7,130.5,180
18.78,0.925,0.575,1.05,1.513,157.7,125.1,180
18.79,0.925,0.575,1.025,1.496,157.7,125.1,180
18.80,0.85,0.475,0.775,1.244,148.2,118.4,140.8
18.81,0.85,0.475,0.725,1.214,148.2,118.4,136.5
18.82,0.925,0.525,1.025,1.477,157.7,121.7,180
18.83,0.925,0.625,1.025,1.516,157.7,128.7,180
18.84,0.925,0.65,1.025,1.526,157.7,130.5,180
18.85,1.025,0.65,1.15,1.672,180,130.5,180
18.86,0.95,0.675,1.125,1.62,161.8,132.5,180
18.87,0.95,0.55,0.975,1.468,161.8,123.4,167.2
18.88,0.9,0.55,1.05,1.488,154.2,123.4,180
18.89,0.925,0.475,0.975,1.425,157.7,118.4,167.2
18.90,0.825,0.575,0.85,1.317,145.6,125.1,148.2
18.91,0.875,0.5,0.975,1.402,151,120,167.2
18.92,0.85,0.675,0.95,1.442,148.2,132.5,161.8
18.93,0.95,0.5,1.05,1.502,161.8,120,180
18.94,0.95,0.55,1.2,1.626,161.8,123.4,180
18.95,0.975,0.575,1,1.51,167.2,125.1,180
18.96,0.9,0.525,0.975,1.427,154.2,121.7,167.2
18.97,0.85,0.575,1.025,1.45,148.2,125.1,180
18.98,0.85,0.65,0.975,1.448,148.2,130.5,167.2
18.99,0.875,0.525,0.925,1.377,151,121.7,157.7
19.00,0.9,0.55,0.925,1.403,154.2,123.4,157.7
19.01,0.825,0.6,1.1,1.5,145.6,126.9,180
19.02,0.925,0.5,1.125,1.54,157.7,120,180
19.03,0.95,0.575,1.025,1.511,161.8,125.1,180
19.04,0.9,0.475,1.1,1.499,154.2,118.4,180
19.05,0.9,0.65,1.075,1.545,154.2,130.5,180
19.06,0.925,0.625,1,1.499,157.7,128.7,180
19.07,0.9,0.525,1.025,1.462,154.2,121.7,180
19.08,0.875,0.575,0.975,1.431,151,125.1,167.2
19.09,0.875,0.55,1,1.438,151,123.4,180
19.10,0.9,0.55,1,1.453,154.2,123.4,180
19.11,0.925,0.45,1.1,1.506,157.7,116.7,180
19.12,0.9,0.575,1.05,1.498,154.2,125.1,180
19.13,0.9,0.55,1.05,1.488,154.2,123.4,180
19.14,0.9,0.625,1.05,1.518,154.2,128.7,180
19.15,0.925,0.525,1.1,1.53,157.7,121.7,180
19.16,0.9,0.525,0.975,1.427,154.2,121.7,167.2
19.17,0.9,0.5,0.95,1.401,154.2,120,161.8
19.18,0.875,0.475,1,1.411,151,118.4,180
19.19,0.9,0.55,1,1.453,154.2,123.4,180
19.20,0.925,0.575,1,1.479,157.7,125.1,180
19.21,0.9,0.55,0.95,1.42,154.2,123.4,161.8
19.22,0.975,0.525,1,1.492,167.2,121.7,180
19.23,0.95,0.575,1.05,1.528,161.8,125.1,180
19.24,0.95,0.475,1.1,1.529,161.8,118.4,180
19.25,0.975,0.55,1.15,1.605,167.2,123.4,180
19.26,1,0.475,1.125,1.578,180,118.4,180
19.27,0.95,0.575,1.1,1.563,161.8,125.1,180
19.28,0.975,0.6,1.2,1.659,167.2,126.9,180
19.29,0.925,0.6,1.2,1.63,157.7,126.9,180
19.30,0.95,0.575,1.05,1.528,161.8,125.1,180
19.31,0.975,0.55,1.025,1.518,167.2,123.4,180
19.32,0.95,0.575,1,1.494,161.8,125.1,180
19.33,1.025,0.5,1.025,1.533,180,120,180
19.34,0.9,0.5,1.05,1.471,154.2,120,180
19.35,1.025,0.5,1,1.517,180,120,180
19.36,0.9,0.55,0.925,1.403,154.2,123.4,157.7
19.37,1,0.575,0.925,1.479,180,125.1,157.7
19.38,0.975,0.625,1.2,1.668,167.2,128.7,180
19.39,1.025,0.675,1.25,1.752,180,132.5,180
19.40,1,0.525,1.15,1.612,180,121.7,180
19.41,1.05,0.55,0.95,1.519,180,123.4,161.8
19.42,0.975,0.5,1.05,1.518,167.2,120,180
19.43,0.975,0.6,0.975,1.504,167.2,126.9,167.2
19.44,1.025,0.475,0.9,1.444,180,118.4,154.2
19.45,0.925,0.575,0.925,1.429,157.7,125.1,157.7
19.46,0.975,0.575,1.075,1.561,167.2,125.1,180
19.47,1.075,0.675,1.275,1.799,180,132.5,180
19.48,1.225,0.675,1.375,1.961,180,132.5,180
19.49,1.125,0.625,1.325,1.847,180,128.7,180
19.50,1.05,0.7,1.2,1.741,180,134.4,180
19.51,1,0.65,1.2,1.692,180,130.5,180
19.52,1.025,0.575,0.85,1.45,180,125.1,148.2
19.53,0.975,0.5,0.775,1.342,167.2,120,140.8
19.54,0.925,0.55,0.875,1.387,157.7,123.4,151
19.55,1,0.525,1.125,1.594,180,121.7,180
19.56,1.05,0.65,1.175,1.705,180,130.5,180
19.57,1.025,0.6,1.25,1.724,180,126.9,180
19.58,1.05,0.675,1.175,1.714,180,132.5,180
19.59,1.025,0.625,1.15,1.662,180,128.7,180
19.60,0.975,0.65,1.125,1.624,167.2,130.5,180
19.61,0.975,0.625,0.975,1.514,167.2,128.7,167.2
19.62,1.025,0.575,0.95,1.511,180,125.1,161.8
19.63,0.975,0.6,1,1.52,167.2,126.9,180
19.64,1,0.5,1.025,1.517,180,120,180
19.65,0.975,0.7,0.925,1.515,167.2,134.4,157.7
19.66,1,0.525,0.95,1.476,180,121.7,161.8
19.67,0.975,0.65,1.075,1.59,167.2,130.5,180
19.68,1.075,0.575,1.275,1.764,180,125.1,180
19.69,1.025,0.65,1.325,1.797,180,130.5,180
19.70,1,0.625,0.975,1.53,180,128.7,167.2
19.71,0.875,0.525,0.925,1.377,151,121.7,157.7
19.72,0.9,0.65,0.975,1.478,154.2,130.5,167.2
19.73,0.975,0.525,1.05,1.526,167.2,121.7,180
19.74,0.95,0.625,0.975,1.498,161.8,128.7,167.2
19.75,0.925,0.55,1.025,1.486,157.7,123.4,180
19.76,0.925,0.625,1,1.499,157.7,128.7,180
19.77,0.925,0.575,1,1.479,157.7,125.1,180
19.78,1,0.65,1.075,1.606,180,130.5,180
19.79,0.95,0.575,1.2,1.635,161.8,125.1,180
19.80,0.9,0.7,1.05,1.55,154.2,134.4,180
19.81,0.9,0.575,1,1.463,154.2,125.1,180
19.82,0.85,0.575,0.925,1.382,148.2,125.1,157.7
19.83,0.875,0.575,0.925,1.397,151,125.1,157.7
19.84,0.925,0.525,1,1.46,157.7,121.7,180
19.85,0.925,0.575,1.025,1.496,157.7,125.1,180
19.86,0.9,0.525,1.075,1.497,154.2,121.7,180
19.87,0.925,0.6,1.1,1.557,157.7,126.9,180
19.88,0.925,0.625,1.125,1.585,157.7,128.7,180
19.89,0.95,0.725,1.175,1.676,161.8,136.5,180
19.90,0.975,0.575,1.2,1.65,167.2,125.1,180
19.91,0.925,0.625,1.05,1.533,157.7,128.7,180
19.92,0.925,0.475,0.975,1.425,157.7,118.4,167.2
19.93,0.875,0.575,0.95,1.414,151,125.1,161.8
19.94,0.925,0.525,0.95,1.426,157.7,121.7,161.8
19.95,0.875,0.6,1.025,1.475,151,126.9,180
19.96,0.9,0.525,1.05,1.479,154.2,121.7,180
19.97,0.975,0.575,0.95,1.478,167.2,125.1,161.8
19.98,0.875,0.575,1.025,1.465,151,125.1,180
19.99,0.95,0.5,1.1,1.537,161.8,120,180
20.00,0.95,0.6,1.075,1.555,161.8,126.9,180

To analyze the data I've employed the following code.

aa = Import[StringJoin[NotebookDirectory[], "LT3.csv"], "Data"];
aa[[1]]
Show[{ListLinePlot[Transpose[{aa[[All, 1]], aa[[All, 2]]}], 
   PlotRange -> {{15, 20}, {0, 1.5}}, ImageSize -> 650], 
  ListLinePlot[Transpose[{aa[[All, 1]], aa[[All, 3]]}], 
   PlotStyle -> Darker[Green]], 
  ListLinePlot[Transpose[{aa[[All, 1]], aa[[All, 4]]}], 
   PlotStyle -> Orange]}]

Next I considered the FFT.

ListLinePlot[Abs[Fourier[Rest@aa[[1000 ;; 2500, 2]]]], 
 PlotRange -> {{0, 30}, {0, 35}}, ImageSize -> 650]

Then I applied a moving average filter and graphed the result.

bb = Rest@aa;
adat = MovingAverage[bb, 100]
{ax, ay, az} = Interpolation /@ (adat[[All, {1, #}]] & /@ {2, 3, 4});
Plot[{ax[t], ay[t], az[t]}, {t, First@adat[[All, 1]], 
  Last@adat[[All, 1]]}, PlotLabel -> "Acceleration", Frame -> True, 
 FrameLabel -> {"Time", "Acceleration"}, 
 PlotLegends -> {"x", "y", "z"}, ImageSize -> 650]

Again, per here we have velocity vs. time

{vxt, vyt, 
   vzt} = (x /. 
      Quiet@First@
        NDSolve[{x[0] == 0, x'[t] == #[t]}, 
         x, {t, First@adat[[All, 1]], Last@adat[[All, 1]]}] & /@ {ax, 
     ay, az});
Plot[{vxt[t], vyt[t], vzt[t]}, {t, First@adat[[All, 1]], 
  Last@adat[[All, 1]]}, PlotLabel -> "Velocity", Frame -> True, 
 FrameLabel -> {"Time", "Velocity"}, PlotLegends -> {"x", "y", "z"}, 
 ImageSize -> 650]

And finally, position.

{xt, yt, zt} = (x /. Quiet@First@NDSolve[{x[0] == 0, x'[t] == #[t]}, x, {t, First@adat[[All, 1]], Last@adat[[All, 1]]}] & /@ {vxt, vyt, vzt});
Plot[{xt[t], yt[t], zt[t]}, {t, First@adat[[All, 1]], Last@adat[[All, 1]]}, PlotLabel -> "Position", Frame -> True, FrameLabel -> {"Time", "Position"}, PlotLegends -> {"x", "y", "z"}, ImageSize -> 650]

ParametricPlot3D[{xt[t], yt[t], zt[t]}, {t, First@adat[[All, 1]], Last@adat[[All, 1]]}, AxesLabel -> {"X", "Y", "Z"}]

Sorry for the long post but I wanted to be thorough. I've also tried alternative numerical integration methods but all lead to the same result. My guess is the integration error is accumulating with time. I realize the moving average filter is a halfhearted try but I have yet to identify an alternative filtering technique that works reference. If anyone would like all of the original data or notebook I'd be happy to share.

Any advice is greatly appreciated.