γ (zenith angle)18
μ (gravitational parameter)41
ν (anomaly)20, 21, 60
φ (flight-path angle)18
ω63
a (semi-major axis)23, 28, 30, 58
ap388
Adams integration386
Adams-Bashforth numerical method414
Adams-Moulton414
Anomaly, parabolic188
Anomaly, true63
Aristarchus357
AUsee Astronomical Unit
B (vector)20, 25
b (impact parameter)377
Ballistic coefficient155
Bode's Law227
Brahe, Tycho357
Brown, E. M.386
Burnout40
c (orbital parameter)23, 38
Canonical Units429
Ceres227f
Circular satellite speed33-34
Clairant386
Coriolis theorem87, 92
D-1 matrix80, 101
Day, mean solar102
Dornberger, Walter152
Draconitic period326
DU (distance unit)41
E (eccentric anomaly)183ff
e (orbital parameter)20, 24, 28, 29, 31
e (eccentricity vector)25, 62
E (specific energy)27-28
e sin E216
Earth atmosphere45
ELINT132
Equinoxes54f
Equinoxes, precession of54f
Euler396
Euler-Cauchy414
Evection325
F216
Focus23
Gauss algorithm53
Gauss-Jackson numerical method414, 418
Geodetic latitude94
Greenwich sidereal time88, 99
H (angular momentum)16-20, 27
H (angular momentum vector)17, 20-27
h (angular momentum)18, 26, 27, 31, 33
Halley, Edmund51-52
Hamiltonians412
Hegel228
Herschel227
Hipparchus325
Hyperbola189
Hyperbolic orbits216f
Impact parameter b377
Inclination63
Injection327ff, 346
Iteration131
Kepler's laws, second33
Kepler, Johannes358
Lagrange412
Lambert's Theorem231
Laplace227
Laplacian orbit method53
Latitude, astronomical94
Latus rectum24
Leverrier386
Line of apsides, rotation of6
Longitude, geographic99
M (mean anomaly)185
Mass, variable8
Matrices, orthogonal79
Milne414
Mu (μ), gravitational parameter41
Multi-step integration methods414
n (mean motion)185
Neptune386
Newton, Isaac227, 386
Node, longitude of ascending63
ν' (nu-dot)31, 191
Numerical integration, "order" defined414
Numerical integration, 2nd-order systems414
Numerical integration, comparison of methods419
Numerical integration, criteria for choosing419
Oblate Earth model86
Oblateness5-6, 86
OTH132
p (orbital element)20, 24, 26
P vector72
P (orbital period)33
Parabolic orbit212ff
Parallax57
Periapsis, argument of63
Perturbation techniques163
Perturbations, due to oblate Earth139

 

Perturbations, examples139
Piazzi228
Precession6, 54f, 104
Predictor-corrector methods414, 416
r20, 187, 193
rv214-217
Relativity8
Residuals138
Round-off error413
Semi-latus rectum24
Semimajor axis28
Semiminor axis47
Sidereal time99
Slant range107
SPASUR182
Specific mechanical energy26-29
Sphere of influence368
Spherical trigonometry82, 83
Sundman191
Tesseral harmonics423
Topocenter56
Topocentric coordinate system (SEZ)99
TP33
TP (orbital period)33
Trigonometry, spherical, problems with83
Trigonometry, spherical82, 83
Truncation error413
TU Time unit41
Turning angle39
Universal variable formulation, advantages of240
Universal variables, iteration197
Uranus227, 386
v72
v72, 113
vcs34
Van Allen belts152
Vernal equinox54
von Braun, Wernher151-52
Zulu time103, 236

 

 

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