Optimum Integration Interval for Use in Orbit Computations with the NRL-9 Gravitational Parameter Set.

Abstract

New gravitational parameter sets, generated to produce a better model of the earth's gravitational field, include maximum degree and order of the parameters associated with the cosine and sine terms as high as 19 and 27 respectively. Using one such gravity field solution (NWL 9A), tests were conducted to determine optimum integration intervals for near polar satellites at low (100 n.m.), medium (500 n.m.), and high (11,000 n.m.) altitudes. Through comparisons of trajectories integrated at various intervals, an optimum interval of 30 seconds was selected for the 100 n.m. altitude satellite, 60 seconds for the 500 n.m. altitude satellite, and 640 seconds for the 11,000 n.m. altitude satellite. An orbit difference of approximately 0.1 meter for a span of 2 days was considered to be satisfactory for use in orbit computations. (Graphical illustrations of these comparisons for the different satellites are presented in the appendices). In the study of the 11,000 n.m. altitude satellite, instability in the numerical integration process used in orbit computations was shown to occur for integration intervals of approximately 720 seconds and larger. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0714142

Entities

People

  • Jane V. Robinson

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Altitude
  • Artificial Satellites
  • Computations
  • Gravitational Fields
  • Gravity
  • Instability
  • Intervals
  • Numerical Integration
  • Orbits
  • Trajectories

Readers

  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris