Formulation for Observed and Computed Values of Deep Space Network Data Types for Navigation

TITLE PAGES......Page 2
Foreword......Page 6
Preface......Page 7
Acknowledgments......Page 8
SECTION 1 INTRODUCTION......Page 9
SECTION 2 TIME SCALES AND TIME DIFFERENCES......Page 13
2.2 TIME SCALES......Page 15
2.3 TIME DIFFERENCES......Page 18
2.4 INPUT FILES FOR TIME DIFFERENCES, POLAR MOTION, AND NUTATION ANGLE CORRECTIONS......Page 33
2.5 TIME TRANSFORMATION TREES......Page 35
SECTION 3 PLANETARY EPHEMERIS, SMALL-BODY EPHEMERIS, AND SATELLITE EPHEMERIDES......Page 40
3.1 PLANETARY EPHEMERIS AND SMALL-BODY EPHEMERIS......Page 42
3.2 SATELLITE EPHEMERIDES......Page 56
SECTION 4 SPACECRAFT EPHEMERIS AND PARTIALS FILE......Page 61
4.1 INTRODUCTION......Page 63
4.2 GENERAL DESCRIPTION OF PROGRAM PV......Page 64
4.3 TRANSFORMATIONS BETWEEN COORDINATES OF THE LOCAL GEOCENTRIC FRAME OF REFERENCE AND THE SOLAR-SYSTEM BARYCENTRIC FRAME OF REFERENCE......Page 65
4.4 RELATIVISTIC EQUATIONS OF MOTION IN SOLAR-SYSTEM BARYCENTRIC FRAME OF REFERENCE......Page 77
4.5 RELATIVISTIC EQUATIONS OF MOTION IN LOCAL GEOCENTRIC FRAME OF REFERENCE......Page 99
SECTION 5 GEOCENTRIC SPACE-FIXED POSITION, VELOCITY, AND ACCELERATION VECTORS OF TRACKING STATION......Page 108
5.1 INTRODUCTION......Page 112
5.2 EARTH-FIXED POSITION VECTOR OF TRACKING STATION......Page 113
5.3 EARTH-FIXED TO SPACE-FIXED TRANSFORMATION MATRIX TE AND ITS TIME DERIVATIVES......Page 152
5.4 GEOCENTRIC SPACE-FIXED POSITION, VELOCITY, AND ACCELERATION VECTORS OF TRACKING STATION......Page 181
5.5 PARTIAL DERIVATIVES OF GEOCENTRIC SPACE-FIXED POSITION VECTOR OF TRACKING STATION......Page 183
SECTION 6 SPACE-FIXED POSITION, VELOCITY, AND ACCELERATION VECTORS OF A LANDED SPACECRAFT RELATIVE TO CENTER OF MASS OF PLANET, PLANETARY SYSTEM, OR THE MOON......Page 188
6.1 INTRODUCTION......Page 190
6.3 BODY-FIXED TO SPACE-FIXED TRANSFORMATION MATRIX T B AND ITS TIME DERIVATIVES......Page 191
6.4 SPACE-FIXED POSITION, VELOCITY, AND ACCELERATION VECTORS OF LANDED SPACECRAFT......Page 198
6.5 PARTIAL DERIVATIVES OF SPACE-FIXED POSITION VECTOR OF LANDED SPACECRAFT......Page 205
SECTION 7 ALGORITHMS FOR COMPUTING ET •TAI......Page 209
7.2 PHASE-CENTER OFFSETS FOR GPS/TOPEX DATA......Page 210
7.3 ALGORITHMS FOR COMPUTING ET •TAI......Page 212
SECTION 8 LIGHT-TIME SOLUTION......Page 220
8.1 INTRODUCTION......Page 222
8.2 POSITION, VELOCITY, AND ACCELERATION VECTORS OF PARTICIPANTS......Page 224
8.3 SPACECRAFT LIGHT-TIME SOLUTION......Page 227
8.4 QUASAR LIGHT-TIME SOLUTION......Page 267
SECTION 9 ANGLES......Page 277
9.1 INTRODUCTION......Page 279
9.2 COORDINATE SYSTEMS, ANGLES, AND UNIT VECTORS AT A TRACKING STATION ON EARTH......Page 280
9.3 COMPUTATION OF ANGLES AT RECEPTION AND TRANSMISSION TIMES AT A TRACKING STATION ON EARTH......Page 291
9.4 CORRECTIONS DUE TO SMALL ROTATIONS OF REFERENCE COORDINATE SYSTEM AT TRACKING STATION ON EARTH......Page 304
9.5 COMPUTATION OF AUXILIARY ANGLES AT EARTH SATELLITES......Page 306
SECTION 10 MEDIA AND ANTENNA CORRECTIONS......Page 309
10.1 INTRODUCTION......Page 312
10.2 MEDIA CORRECTIONS IN THE REGRES EDITOR......Page 313
10.3 IONOSPHERE PARTIALS MODEL......Page 333
10.4 SOLAR CORONA MODEL......Page 338
10.5 ANTENNA CORRECTIONS......Page 347
SECTION 11 CALCULATION OF PRECISION LIGHT TIMES AND QUASAR DELAYS......Page 354
11.1 INTRODUCTION......Page 357
11.2 DELAYS......Page 358
11.3 PRECISION ROUND-TRIP LIGHT TIME •......Page 363
11.4 PRECISION ONE-WAY LIGHT TIME • 1......Page 365
11.5 PRECISION ONE-WAY LIGHT TIME • 1 FOR GPS/TOPEX OBSERVABLES......Page 377
11.6 PRECISION QUASAR DELAY •......Page 390
SECTION 12 PARTIAL DERIVATIVES OF PRECISION LIGHT TIMES AND QUASAR DELAYS......Page 393
12.1 INTRODUCTION......Page 395
12.2 PARTIAL DERIVATIVES OF POSITION VECTORS OF PARTICIPANTS......Page 396
12.3 PARTIAL DERIVATIVES OF SUB-POSITION VECTORS OF PARTICIPANTS......Page 397
12.4 TRANSFORMING PARTIAL DERIVATIVES OF POSITION VECTORS OF PARTICIPANTS TO PARTIAL DERIVATIVES OF TRANSMISSION OR RECEPTION TIMES......Page 400
12.5 PARTIAL DERIVATIVES OF PRECISION LIGHT TIMES AND QUASAR DELAYS WITH RESPECT TO THE PARAMETER VECTOR q......Page 404
SECTION 13 OBSERVABLES......Page 418
13.1 INTRODUCTION......Page 425
13.2 TRANSMITTER FREQUENCIES AND SPACECRAFT TURNAROUND RATIOS......Page 427
13.3 DOPPLER OBSERVABLES......Page 440
13.4 TOTAL-COUNT PHASE OBSERVABLES......Page 466
13.5 RANGE OBSERVABLES......Page 480
13.6 GPS/TOPEX PSEUDO-RANGE AND CARRIER-PHASE OBSERVABLES......Page 494
13.7 SPACECRAFT INTERFEROMETRY OBSERVABLES......Page 499
13.8 QUASAR INTERFEROMETRY OBSERVABLES......Page 520
13.9 ANGULAR OBSERVABLES......Page 531
SECTION 14 REFERENCES......Page 538
SECTION 15 ACRONYMS......Page 545