RESONANCE ANALYZER

Tabare Gallardo
Departamento Astronomia, Facultad de Ciencias, Universidad de la Republica, Uruguay
www.fisica.edu.uy/~gallardo




Checking the model: comparisons with other works.


1) RESONALYZER: For one specific resonance.

We have new codes including planetary eccentricity and valid also for exoplanetary systems HERE.

For a given arbitrary k_p:k resonance (for example 3:2 are the Hildas and 2:3 the plutinos) this algorithm calculates the strength (according to Gallardo 2006, 2019), maximum width of stable librations in au, libration centers and libration periods for arbitrary (e,i,w). The method is described in Three dimensional structure of mean motion resonances beyond Neptune (Gallardo 2019, CMDA).
Example of output: 
 Planet =  Jupiter
 Resonance =   1: 1
 a =   5.20095525 au
 e =   0.3
 i =   165.
 arg perihelion =   200.
  R =   5.83551489E-008  [M_sun,au,days]
 Strength (R - Rmin) =   4.27581581E-009
 Rmax-Rmin =   8.59802558E-009
 Close enc. dist. =   3. RHill
 stable width =   0.208812726 au
 sigma= 60. E. STABLE  P=  0.87192462E+03     years


2) SUPERATLAS: For several resonances.

We have new codes including planetary eccentricity and valid also for exoplanetary systems HERE.

For a given interval in semimajor axis this code calculates all resonnaces with all the planets.
Example of output: 
 pla  kp:k    a(au)    e     i     w         R       R-R_min     width(au)  sigma_0         periods(yr)
 4    1  3   3.16938 0.700 170.0   9.0  3.0997E-11  3.6300E-12  2.8438E-03  18 202 999 999  6.347E+03  1.112E+04  0.000E+00  0.000E+00
 4    1  4   3.83943 0.700 170.0   9.0  2.6388E-11  1.8815E-12  2.5392E-03  20 197 999 999  6.570E+03  1.128E+04  0.000E+00  0.000E+00
 5    1  1   5.20096 0.700 170.0   9.0  4.9412E-08  1.3527E-08  3.8170E-01  18 999 999 999  5.739E+02  0.000E+00  0.000E+00  0.000E+00
 5    2  1   3.27640 0.700 170.0   9.0  7.2314E-08  7.9806E-09  2.0165E-02  31 228 999 999  3.302E+02  3.840E+02  0.000E+00  0.000E+00


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