Implement Keplerian orbit for the satellite in binaries problem.
- now the satellite changes positions and velocity accordind to Keplers laws; correct Keplerian orbit has been implemented in shape_binaries(); - correct initialization of the satellite in init_binaries();
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src/problem.F90
114
src/problem.F90
@ -709,7 +709,7 @@ module problem
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use config , only : im, jm, km
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use config , only : dens, pres, csnd2, gamma
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use config , only : dnfac, dnrat
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use config , only : rstar, vstar, rsat, dsat, vsat, tsat
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use config , only : rstar, vstar, rsat, dsat, vsat, tsat, esat
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use constants, only : dpi
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use coords , only : ax, ay, az, adr
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use scheme , only : prim2cons
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@ -732,13 +732,13 @@ module problem
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! local variables
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!
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integer :: i, j, k
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real :: dr
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real :: dnamb, pramb
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real :: dnstar, prstar, vrstar, rc
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real :: dnsat , prsat , vrsat , rs, xs, ys
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real :: dr, rc, rs, xs, ys
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real :: om = 0.0d0, sn = 0.0d0, cs = 1.0d0
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real :: asat, bsat, xsat
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real :: xsh, ysh, xvl, yvl
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real, save :: dnamb, pramb
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real, save :: dnstar, prstar, vrstar
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real, save :: dnsat , prsat , vrsat
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real, save :: asat, bsat, xsat = - 1.0d0
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real, save :: xsh, ysh, xvl, yvl
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! local arrays
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!
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@ -749,6 +749,10 @@ module problem
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!
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!-------------------------------------------------------------------------------
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!
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! calculate the interior and orbit parameters only once
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!
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if (xsat .le. 0.0d0) then
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! calculate pressure from sound speed
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!
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#ifdef ISO
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@ -758,7 +762,7 @@ module problem
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pres = csnd2 * dens / gamma
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#endif /* ADI */
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! calculate parameters
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! calculate star interior parameters
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!
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dnamb = dens
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pramb = pres
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@ -768,13 +772,27 @@ module problem
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prsat = pramb * dnfac / dnrat
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vrstar = vstar / rstar
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vrsat = vsat / rsat
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if (tsat .gt. 0.0d0) then
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! calculate orbit parameters
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!
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asat = dsat / (1.0d0 - esat)
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xsat = asat * esat
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bsat = sqrt(asat * asat - xsat * xsat)
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! angular speed and triginometric functions
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!
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om = dpi / tsat
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sn = 0.0d0
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cs = 1.0d0
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! calculate satellite initial position and speed
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!
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xsh = asat * cs - xsat
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ysh = bsat * sn
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xvl = - asat * sn * om
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yvl = bsat * cs * om
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end if
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xvl = - asat * om * sn
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yvl = bsat * om * cs
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! obtain the diagonal size of a cell at the current level
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!
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@ -1386,19 +1404,22 @@ module problem
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! local variables
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!
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integer :: i, j, k
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real :: dr
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real :: dnamb, pramb
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real :: dnstar, vrstar, prstar, rc
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real :: dnsat , vrsat , prsat , rs, xs, ys
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real :: dr, rs, xs, ys, rc
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real :: om = 0.0d0, sn = 0.0d0, cs = 1.0d0
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real :: rhs, res
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real, save :: dnamb, pramb
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real, save :: dnstar, vrstar, prstar
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real, save :: dnsat , vrsat , prsat
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#ifdef ADI
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real :: ekin, ekstar, eksat
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real, save :: ekstar, eksat
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real :: ekin
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#ifdef MHD
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real :: emag
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#endif /* MHD */
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#endif /* ADI */
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real :: om = 0.0d0, ang = 0.0d0, sn = 0.0d0, cs = 1.0d0
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real :: asat, bsat, xsat
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real :: xsh, ysh, xvl, yvl
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real, save :: asat, bsat, xsat = -1.0d0
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real, save :: xsh, ysh, xvl, yvl
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real, save :: tpre = -1.0d0, ang = 0.0d0
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! local arrays
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!
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@ -1408,7 +1429,11 @@ module problem
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!
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!-------------------------------------------------------------------------------
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!
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! calculate parameters
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! calculate the star and satellite orbit parameters only once
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!
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if (xsat .lt. 0.0d0) then
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! calculate parameters for the star interiors
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!
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#ifdef ISO
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pres = csnd2 * dens
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@ -1428,19 +1453,52 @@ module problem
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ekstar = 0.5d0 * dnstar * vstar * vstar
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eksat = 0.5d0 * dnsat * vsat * vsat
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#endif /* ADI */
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if (tsat .gt. 0.0d0) then
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om = dpi / tsat
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ang = om * t
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sn = sin(ang)
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cs = cos(ang)
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end if
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! calculate orbit parameters
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!
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asat = dsat / (1.0d0 - esat)
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xsat = asat * esat
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bsat = sqrt(asat * asat - xsat * xsat)
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end if
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! recalculate the angles and coordinates
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!
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if (t .gt. tpre) then
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! calculate the new value of eccentric anomaly
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!
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rhs = dpi * t / tsat
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res = 1.0d0
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i = 1
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do while(res .ge. 1.0e-14 .and. i .le. 1000)
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sn = esat * sin(ang)
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ang = rhs + sn
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res = abs((ang - sn) - rhs)
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i = i + 1
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end do
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! calculate trigonometric functions
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!
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sn = sin(ang)
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cs = cos(ang)
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! calculate the angular velocity
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!
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om = dpi / tsat / (1.0d0 - esat * cs)
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! calculate position coordinates and velocity components
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!
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xsh = asat * cs - xsat
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ysh = bsat * sn
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xvl = - asat * om * sn
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yvl = bsat * om * cs
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xvl = - asat * sn * om
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yvl = bsat * cs * om
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! substitute the previous time
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!
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tpre = t
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end if
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! obtain the diagonal size of a cell at the current level
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!
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