Engineering topics

Nacozy, P.

Publications and source records attributed to Nacozy, P..

3 records

NASA NTRS1981

Time elements in rectangular coordinates

In a paper by the second author (Nacozy, 1981), various time elements are presented for use with the Sundman time transformation. In that paper, the time elements are given in terms of Keplerian orbital elements. We give here the corresponding time elements in terms of rectangular coordinates. Extensive references are given in the previous paper and will be omitted here. We present additional numerical experiments comparing the use of time elements and time transformations together with the use of time transformations alone. The results indicate a reduction in computational error when time elements are used.

Kwok, J. H.↗

NASA NTRS1977

The intermediate anomaly

Time transformations of the equation dt = cr to the n ds, where s is a variable called the intermediate anomaly, are known to reduce global error in the solution of gravitational systems obtained by numerical integration. Attention is given to the Sundman time transformation, and its relation to equations of Keplerian elliptical motion.

Nacozy, P.↗

NASA NTRS1976

The computation of relative motion with increased precision

Encke's method as modified by Potter to increase the accuracy of orbit computations of gravitationally interacting bodies is applied to the problem of relative motion of non-interacting space vehicles. This technique is then combined with a simple transformation of the independent variable to arrive at a system of equations from which the relative motion may be determined with increased precision.

Nacozy, P.↗