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  4. Analytical images of Kepler's equation solutions and their applications

Analytical images of Kepler's equation solutions and their applications

MMC.
2023;
Volume 10, Number 2
: pp. 351–358
https://doi.org/10.23939/mmc2023.02.351
Received: January 31, 2023
Revised: April 20, 2023
Accepted: April 21, 2023

Mathematical Modeling and Computing, Vol. 10, No. 2, pp. 351–358 (2023)

Authors:
  1. M. Vavrukh
  2. D. Dzikovskyi
  3. O. Stelmakh
1
Ivan Franko National University of Lviv
2
Ivan Franko National University of Lviv
3
Ivan Franko National University of Lviv

The simple fast-converging analytical calculations algorithms for eccentric anomaly are proposed for an arbitrary eccentricity $0<e\leq 1$.  The kinematic characteristics of Halley's comet are calculated as the function of time. Mass of Galaxy + NGC 224 system using the model of elliptical relative motion is also estimated.

Kepler's equation
eccentric anomaly
Halley's comet
mass of Local System of Galaxies
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