Fundamentals of Astrodynamics and Applications Fifth Edition

Fundamentals of Astrodynamics and Applications
Fifth Edition

David Vallado

Last updated 2023 May 10


Purchase the Text

ISBN: 978-1881883210 and 978-1881883227. Pages: 1122. Publisher: Microcosm Press Year: March 2022. This edition is available in softcover (List $120.00/Microcosm $97.00), hardbound (List $180.00/Microcosm $160.00), and e-book (coming soon from List TBD) formats.


Software and Data

Some of the code is available in other languages, although not all routines are present. Examples are Java and Excel (VBA).

Organization of the Material

The code is available in several languages, and it is organized roughly according to function. Where feasible, all the time routines are in one file, the math techniques in another, and so forth.


AST2BODY Two-body relations
COMPLX Complex math
CONSTS Constants WGS-84, JGM-2, etc.
ASTDC Differential correction
ASTINTER Interplanetary
ASTIOD Initial orbit determination
ASTMANV Maneuvers
ASTPERT Perturbation
ASTREDUC Reduction of coordinates
ASTUTIL Character operations
SGP4UNIT SGP4 routines
See “Revisiting Spacetrack Report #3” [AIAA 2006-6753] for more details.
SGP4DC SGP4 Orbit Determination routines
See “SGP4 Orbit Determination” [AIAA 2008-6770] for more details.


Several data files are needed for some of the files.


NUT85.DAT Nutation coefficients for planetary 85
NUTATION.DAT Nutation coefficients for 106
ATMOSEXP.DAT Sample exponential atmosphere values
TESTASTF.DAT Input for sample test program
SENSOR.DAT Sensor sample values
GEOS1.IN DC input test 1
GEOS2.IN DC input test 2
GEOS5.IN DC input test 5
GEOS1.TXT DC sample output results 1
GEOS2.TXT DC sample output results 2
GEOS5.TXT DC sample output results 5
SGP4-VER.TLE Sample SGP4 test cases


Cross-Reference of Available Functions [Excel spreadsheet] (as of 2018 Mar 15)

Within each file there are specific routines to accomplish various operations. Effort has been taken to use similar names and function scopes, although there are some differences based on language features. The SOFTWARE worksheet discusses the specific routines that are available within each larger technical area.

The ALGORITHMS worksheet lists which routines are available (MATLAB).

The EXAMPLES worksheet lists what MATLAB scripts will perform the example exercises in the text. Many are complete, but a few remain to finish all the examples in the text.

The test program is a simple program that executes the input/output operations of each subroutine in that package. There isn’t anything fancy about it. It’s just intended to be a quick check of the answers. The TESTASTF.DAT file contains my results using the codes. Additional work is needed to update this file, but it’s a start.

STK Scenarios from Chapter 6 (5,592,553 bytes) (as of 2011 Dec 26)

These scenarios are useful to see the various transfers in 3-D. Other scenarios are in various stages of development.