Concepedia

Kepler's Equation

Kepler's Equation is a transcendental equation in orbital mechanics that relates the mean anomaly to the eccentric anomaly through the orbital eccentricity, serving as the fundamental relation for determining the position of a body in an elliptical orbit as a function of time.

290

Publications

15.9K

Citations

459

Authors

290

Institutions

Publications per year

2017–2026

28

Parents

Publications

290

Gravitational Radiation from Point Masses in a Keplerian Orbit

P. C. Peters, Jon Mathews · Physical Review · 1963 · 1.6K citations

, , +17

Periodic Orbits and Classical Quantization Conditions

Martin C. Gutzwiller · Journal of Mathematical Physics · 1971 · 1.5K citations

, , +16

A proof of the Kepler conjecture

Thomas Hales · Annals of Mathematics · 2005 · 990 citations · Full text

, , +12

Perturbation theory of Kepler motion based on spinor regularization.

Paul Kustaanheimo, Andrzej Schinzel, H. Davenport et al. · Journal für die reine und angewandte Mathematik (Crelles Journal) · 1965 · 864 citations

, , +16

SUPERFLARES ON SOLAR-TYPE STARS OBSERVED WITH <i>KEPLER</i> . I. STATISTICAL PROPERTIES OF SUPERFLARES

The Astrophysical Journal Supplement Series · 2013 · 487 citations · Full text

, , +11

1–5 of 290

Authors

459

  1. TF
    Toshio Fukushima

    National Astronomical Observatory of Japan, Japan

    9 publications · 284 citations

    9

    h-index

  2. PG
    P. G. L. Leach

    University of KwaZulu-Natal, South Africa

    7 publications · 244 citations

    7

    h-index

  3. TH
    Thomas Hales

    University of Pittsburgh, United States

    5 publications · 1.3K citations

    5

    h-index

  4. VM
    Vladimir Martinuşi

    Gheorghe Asachi Technical University of Iași, Romania

    5 publications · 120 citations

    5

    h-index

  5. DC
    Daniel Condurache

    Gheorghe Asachi Technical University of Iași, Romania

    5 publications · 120 citations

    5

    h-index

1–5 of 459

Institutions

290

  1. National Astronomical Observatory of Japan

    Mitaka-shi, Japan

    10 h-index

    10 publications

    1.1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    7 publications

    174 citations

  3. Kyoto University

    Kyoto, Japan

    6 h-index

    21 publications

    6.1K citations

  4. Gheorghe Asachi Technical University of Iași

    Iasi, Romania

    5 h-index

    10 publications

    240 citations

  5. Center for Astrophysics Harvard & Smithsonian

    Cambridge, United States

    4 h-index

    9 publications

    1K citations

  6. University of Toronto

    Toronto, Canada

    4 h-index

    5 publications

    506 citations

  7. Universidad de Zaragoza

    Zaragoza, Spain

    4 h-index

    8 publications

    176 citations

  8. University of the Aegean

    Mytilene, Greece

    3 h-index

    5 publications

    188 citations

1–8 of 290

Venues

  1. Celestial Mechanics and Dynamical Astronomy

    33 publications · 1.2K citations

    19

    h-index

  2. Journal of Mathematical Physics

    13 publications · 1.9K citations

    13

    h-index

  3. The Astronomical Journal

    AJ · 15 publications · 339 citations

    13

    h-index

  4. American Journal of Physics

    14 publications · 251 citations

    11

    h-index

  5. The Astrophysical Journal

    ApJ · 9 publications · 1K citations

    9

    h-index

1–5