The ATOMFT integrator: Using taylor series to solve ordinary differential equations

Astrodynamics Conference, 1988

Volumn , Issue , 1988, Pages 55-61

  Berryman, Kenneth W ^a   Stanford, Richard H ^a   Breckheimer, Peter J ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; TAYLOR SERIES; USER INTERFACES;

ALGEBRAIC EQUATIONS; USER DEFINED FUNCTIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 85002187722     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1988-4217     Document Type: Conference Paper

References (9)

1. Corliss, George, and Chang, Y.F., “Solving Ordinary Differential Equations Using Taylor Series, ” ACM Transactions on Mathematical Software, Vol. 8, No. 2, June 1982, p. 114.
2. Stanford, Richard H., Berryman, Kenneth W., and Breckheimer, Peter J., “Application of Taylor’s Series to Trajectory Propagation, ” 1986 AIA A/A AS conference.
3. Chang, Y.F. “ATOMFT User Manual.”
4. Shampine, L.F., and Gordon, M.K., Computer Solu-tion of Ordinary Differential Equations, W.H. Freeman & Co., San Francisco, 1975.
5. Fehlberg, E., “Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta formulas with Stepsize Control, ” NASA, TR R-287, October 1968.
6. Ekelund, J.E., Sunseri, R.F., and Collier, J.B., “ODP and DPTRAJ Subroutine Documents in LIB*NAV$, ” JPL Internal Documentation, Navigation Doc., 9 July 1981.
7. Rinker, G.C., “The NBODY Program, ” JPL Internal Documentation, IOM 314.9/ 85-541, 4 February 1985.
8. Chang, Y.F., Tabor, M., Weiss, J., and Corliss, G.F., “On the Analytic Structure of the Henon Heiles System, ” Physics Letters 85A, 1981, p. 211.
9. Krogh, Fred T., “SIVA/DIVA Solution of Initial Value Problems for Ordinary Differential Equations with a Variable Order Adam’s Method, ” JPL Internal Documentation, IOM 366.4/87521, 6 April 1987.