Jean-Marc Baillard

First Name:Jean-Marc
Last Name:Baillard
Web Address:
Last Change:2018-04-03
Number of Files:9 (157th most prolific)
Number of Downloads:3,903 (2,012th most downloaded)

ANION 2.0   (details) 49/50 48 ENG   46KB/16KB
A set of programs to compute functions of hypercomplex numbers - also called "anions" - i-e complexes, quaternions, octonions, sedenions, 32-ons, 64-ons ... and so on. Elementary functions, circular functions, hyperbolic functions... but also several special functions: Gamma, digamma, Zeta functions, generalized hypergeometric functions + Bessel functions, Legendre functions, Spheroidal wave functions and many others. Now adds polynomial evamuation, harmonic numbers, polygamma functions, generalized error functions, incomplete beta and incomplete gamma functions, and Whittaker's functions.
By Jean-Marc Baillard. 2015/07/26

ASTRO2012 3.0   (details) 49/50 48 ENG   105KB/57-112KB
ScreenshotPosition of the Sun, Moon, 9 major planets+xena. Theories VSOP87B + TOP2010A + corrections from DE422. Date of Easter. Positions of the main satellites of Jupiter, Saturn, Uranus. Comets: Parabolic-Hyperbolic-Elliptic motion. Precession formulae valid +/-200,000 years from J2000. Phases of the Moon.
By Jean-Marc Baillard. 2018/02/27

BIONS   (details) 48 ENG   51KB/21KB
A set of programs to compute functions of "bions" (omplexified anions), i.e. bicomplexes, biquaternions, bioctonions, bisedenions, and so on. Has elementary functions, circular functions, hyperbolic functions, but also several special functions: Gamma, digamma, Zeta functions, generalized hypergeometric functions and Bessel functions, Legendre functions, Spheroidal wave functions, fractional-integro differentiation, and many others. Written for the 48S/SX/G/GX but the source code should also work with the 49/50.
By Jean-Marc Baillard. 2015/07/26

Differential Equations & Gravitational n-body Prob 1.0   (details) 49/50 48 ENG   17KB/10-12KB
Differential Equations - Explicit Runge-Kutta methods of order 4, 8 & 10 and Implicit Runge-Kutta methods of order 12 & 13. Gravitational n-body problem solved by RK4, RK8, RK10 and the built-in RKF (except 48S/SX).
By Jean-Marc Baillard. 2012/09/15

DIFFGEOM48 1.0   (details) 49/50 48 ENG   43KB/28KB
Comprehensive package with routines to calculate curl, divergence, gradient, Laplacian (rectangular, cylindrical and spherical coordinates), Hessian matrix, biharmonic and triharmonic operators, curvature and torsion of a curve, curvature(s) of a surface and a hypersurface, and Riemannian geometry, for metric tensor, Christoffel symbols, curvature tensor, Ricci tensor, Einstein and Weyl tensors and a few tensors in non-Riemannian manifolds. Also works with complex manifolds. Includes detailed documentation in HTML format explaining all commands.
By Jean-Marc Baillard. 2017/02/10

Geodesy 2.0   (details) 49/50 48 ENG   34KB/13KB
Set of programs which calculate the geodesic distance between two points on the Earth from their geographic longitudes and latitudes, and also return the forward and backward azimuths. Now calculates geodesic on a triaxial ellipsoid (Jacobi's method and approximate method) and gravity on a triaxial ellipsoid.
By Jean-Marc Baillard. 2015/07/26

JPLEPH 1.0   (details) 48 ENG   97KB/12KB
Several programs to use the JPL Ephemerides DE421-DE422-DE423-DE424 and DE406-DE408. They calculate the barycentric, heliocentric and geocentric coordinates of the Sun and the major planets (directly geocentric for the Moon). They also compute the nutation & libration, except DE406 & DE408.
By Jean-Marc Baillard. 2012/09/15

Min-Max Polynomials 1.0   (details) 49/50 48 ENG   5KB/1-2KB
Given a set of N data points (x1,y1) .... (xN,yN), MMP calculates the min-max polynomial of degree d by the "exchange method".
By Jean-Marc Baillard. 2018/04/03

Orbit Determination 1.0   (details) 49/50 48 ENG   41KB/16KB
Determines orbits using the method of Gauss-Herrick-Gibbs for 3 observations and Herget's method for more than 3 observations. Has different utilities to calculate the position of a comet or asteroid. Supports dates in Gregorian or Julian calendar. Accurate position of the Sun.
By Jean-Marc Baillard. 2015/07/26

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