Concepedia

Jacobi Integral

The Jacobi Integral is a conserved scalar quantity in the circular restricted three-body problem that distinguishes itself from other first integrals by combining the system's kinetic and potential energies in a rotating reference frame, thereby enabling the analysis of permissible motions and stability regions near Lagrangian points.

154

Publications

5K

Citations

247

Authors

182

Institutions

Publications per year

2017–2026

13

Variants

Jacobi Constant

Parents

Publications

154

Calculation of Gauss-Kronrod quadrature rules

Dirk Laurie · Mathematics of Computation · 1997 · 185 citations · Full text

, , +13

Jacobi Polynomials Associated with Selberg Integrals

Kazuhiko Aomoto · SIAM Journal on Mathematical Analysis · 1987 · 166 citations

, , +8

Positivity and the Convolution Structure for Jacobi Series

George Gasper · Annals of Mathematics · 1971 · 154 citations

, , +8

Jacobi sums as “Grössencharaktere”

André Weil · Transactions of the American Mathematical Society · 1952 · 132 citations · Full text

, , +8

Theta hypergeometric integrals

V. P. Spiridonov · St Petersburg Mathematical Journal · 2004 · 129 citations · Full text

, , +10

1–5 of 154

Authors

247

  1. TH
    Tom H. Koornwinder

    University of Amsterdam, Netherlands

    5 publications · 226 citations

    5

    h-index

  2. GG
    George Gasper

    Northwestern University, United States

    4 publications · 209 citations

    4

    h-index

  3. WT
    Walter Trebels

    Darmstadt University of Applied Sciences, Germany

    3 publications · 55 citations

    3

    h-index

  4. GT
    Gerald Teschl

    University of Vienna, Austria

    3 publications · 126 citations

    3

    h-index

  5. AK
    Avinash Khare

    Institute of Physics, Bhubaneshwar, India

    3 publications · 92 citations

    3

    h-index

1–5 of 247

Institutions

182

  1. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    4 publications

    173 citations

  2. University of Milan

    Milan, Italy

    3 h-index

    5 publications

    153 citations

  3. Institute of Mathematics

    Warsaw, Poland

    3 h-index

    4 publications

    49 citations

  4. Universidade Estadual Paulista (Unesp)

    São Paulo, Brazil

    3 h-index

    5 publications

    140 citations

  5. East China Normal University

    Shanghai, China

    3 h-index

    3 publications

    100 citations

  6. Northwestern University

    Evanston, United States

    3 h-index

    4 publications

    79 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    3 publications

    51 citations

  8. University of Manchester

    Manchester, United Kingdom

    2 h-index

    3 publications

    102 citations

1–8 of 182

Venues

  1. The Astrophysical Journal

    ApJ · 7 publications · 229 citations

    7

    h-index

  2. 7

    h-index

  3. The Astronomical Journal

    AJ · 6 publications · 261 citations

    6

    h-index

  4. Journal of Approximation Theory

    5 publications · 82 citations

    5

    h-index

  5. 4

    h-index

1–5