Table 4.

Martian Bow Shock 3D Conic Parameters From Quadric Surface Fits Applied to the MAVEN Orbits and Magnetic Field Data (Predictor‐Corrector Algorithm)

Case	A	B	C	D	E	F	G	H	I	R ss	R td,y	R td,z
Gruesbeck et al. (2018)  a	0.049 0	0.157 0	0.153 0	0.026 0	0.012 0	0.051 0	0.566 0	−0.031 0	0.019 0	1.557	2.624	2.495
All points, this work	0.176 9	0.160 9	0.155 9	0.005 7	0.004 4	0.028 1	0.377 3	−0.032 3	0.014 3	1.539	2.595	2.487
MY32, this work	0.136 9	0.141 9	0.140 0	0.038 1	0.017 8	0.054 7	0.378 3	0.004 4	0.027 9	1.654	2.639	2.575
MY33, this work	0.166 0	0.151 6	0.150 1	0.023 5	−0.006 1	0.020 3	0.380 7	−0.028 4	−0.001 8	1.562	2.664	2.587
MY34, this work	0.171 9	0.174 2	0.155 1	−0.011 2	−0.006 8	0.016 5	0.395 5	−0.025 6	0.012 7	1.522	2.470	2.499
MY35, this work	0.557 7	0.224 5	0.200 0	−0.050 9	−0.010 3	0.096 3	−0.142 1	0.001 1	−0.011 9	1.472	2.108	2.266
Ls = [315°–45°], this work	0.155 4	0.162 5	0.158 7	−0.026 5	−0.008 1	0.002 3	0.426 0	0.001 3	0.004 4	1.513	2.477	2.496
Ls = [45°–135°], this work	0.171 9	0.176 1	0.155 5	−0.027 5	0.004 8	0.056 4	0.410 7	−0.028 7	0.005 7	1.497	2.466	2.518
Ls = [135°–225°], this work	0.249 0	0.147 3	0.262 4	0.040 9	0.041 5	0.109 8	0.236 8	−0.094 1	−0.151 0	1.584	2.945	2.261
Ls = [225°–315°], this work	0.155 9	0.148 4	0.140 0	0.004 7	0.022 7	0.040 0	0.358 3	−0.007 2	−0.019 7	1.632	2.620	2.744
EUV flux ≥ 0.002 8 W m−2	0.109 6	0.148 0	0.150 0	0.027 4	0.003 1	0.035 5	0.432 9	−0.029 3	0.004 5	1.634	2.700	2.567
EUV flux $<0.0028$ W m−2	0.213 8	0.180 7	0.157 7	−0.023 1	−0.005 1	0.031 4	0.347 3	−0.020 7	0.018 5	1.498	2.410	2.460
Quasi‐⊥	0.179 8	0.160 7	0.153 9	0.001 6	0.004 0	0.033 0	0.377 7	−0.034 8	0.012 4	1.531	2.605	2.509
Quasi‐‖	0.142 7	0.167 5	0.166 6	−0.000 4	0.005 1	0.005 0	0.399 2	−0.009 8	0.023 0	1.595	2.473	2.382

Note. See Equation (9) for the definition of parameters A to I and Equations (11), (12), and (13) for those of the subsolar standoff distance R _ss along the X _MSO axis and the terminator standoff distances R _td along the Y _MSO and Z _MSO axes. Uncertainties on the parameters are of the order of 1% in a least squares sense. All quadrics here are ellipsoids. The domain of validity for each fit is shown in Figure 9: fits are valid for X _MSO ≥ −0.5 R _p on average. The number of fitting points used for each case is the same as for the 2D fits, see Table 3 (last column). Also, see Appendix A for a physical interpretation of the tabulated parameters. R _ss and R _td are expressed in units of Mars radius R _p = 3,389.5 km.

^a For all points considered in their data subset.