Taylor Series Trajectory Calculations Including Oblateness Effects and Variable Atmospheric Density

By: Nasa, National Aeronautics and Space Adm

Taylor series integration is implemented in NASA Glenn's Spacecraft N-body Analysis Program, and compared head-to-head with the code's existing 8th- order Runge-Kutta Fehlberg time integration scheme. This paper focuses on trajectory problems that include oblateness and/or variable atmospheric density. Taylor series is shown to be significantly faster and more accurate for oblateness problems up through a 4x4 field, with speedups ranging from a factor of 2 to 13. For problems with variable atmospheric density, speedups average 24 for atmospheric density alone, and average 1.6 to 8.2 when density and oblateness are combined. Scott, James R. Glenn Research Center NASA/TM-2011-217135, AAS-11-612, E-17871

• Format: Paperback
• Language: English
• ISBN: 1794338209
• ISBN13: 9781794338203
• Release Date: January 1
• Publisher: Independently Published
• Length: 26 Pages
• Weight: 0.19 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"