Take into account the satellite motion when resetting its velocity.

- in the binaries problem we have to reinitiate the velocity within
   the satellite properly, taking into account not only the speed of
   wind at the surface, but also setting the satellite's velocity due to
   its orbital motion; this produces properly the bow shock in front of
   the satellite, and the new time step is calculated correctly since it
   includes the speed of the satellite;

src/problem.F90

@@ -708,7 +708,8 @@ module problem
     use config   , only : im, jm, km, in, jn, kn, ng
     use config   , only : dens, pres, csnd2, gamma
     use config   , only : dnfac, dnrat
-    use config   , only : rstar, vstar, rsat, dsat, vsat
+    use config   , only : rstar, vstar, rsat, dsat, vsat, tsat
+    use constants, only : dpi
     use scheme   , only : prim2cons
     use variables, only : nqt
     use variables, only : idn, ivx, ivy, ivz
@@ -733,6 +734,9 @@ module problem
     real    :: dnamb, pramb
     real    :: dnstar, prstar, vrstar, rc
     real    :: dnsat , prsat , vrsat , rs, xs, ys, zs
+    real    :: om = 0.0d0, sn = 0.0d0, cs = 1.0d0
+    real    :: asat, bsat, xsat
+    real    :: xsh, ysh, xvl, yvl
 
 ! local arrays
 !
@@ -762,6 +766,13 @@ module problem
     prsat   = pramb * dnfac / dnrat
     vrstar  = vstar / rstar
     vrsat   = vsat  / rsat
+    if (tsat .gt. 0.0d0) then
+      om      = dpi / tsat
+      sn      = 0.0d0
+      cs      = 1.0d0
+    end if
+    xvl     = - asat * om * sn
+    yvl     =   bsat * om * cs
 
 ! calculate cell sizes
 !
@@ -795,7 +806,7 @@ module problem
 #endif /* NDIMS == 3 */
 
       do j = 1, jm
-        ys = y(j)
+        ys = y(j) - ysh
 
 ! reset primitive variables
 !
@@ -817,7 +828,7 @@ module problem
 
         do i = 1, im
 
-          xs = x(i) - dsat
+          xs = x(i) - xsh
 
 ! calculate radia for both stars
 !
@@ -844,8 +855,8 @@ module problem
           if (rs .le. max(rsat, dr)) then
 
             q(idn,i) = dnsat
-            q(ivx,i) = vrsat * xs
+            q(ivx,i) = vrsat * xs + xvl
-            q(ivy,i) = vrsat * ys
+            q(ivy,i) = vrsat * ys + yvl
 #if NDIMS == 3
             q(ivz,i) = vrsat * zs
 #endif /* NDIMS == 3 */
@@ -1410,17 +1421,19 @@ module problem
 ! local variables
 !
     integer :: i, j, k
-    real    :: dx, dy, dz, dr, ang = 0.0d0, sn = 0.0d0, cs = 1.0d0, xsh, ysh
+    real    :: dx, dy, dz, dr
     real    :: dnamb, pramb
     real    :: dnstar, vrstar, prstar, rc
     real    :: dnsat , vrsat , prsat , rs, xs, ys, zs
-    real    :: asat, bsat, xsat
 #ifdef ADI
     real    :: ekin, ekstar, eksat
 #ifdef MHD
     real    :: emag
 #endif /* MHD */
 #endif /* ADI */
+    real    :: om = 0.0d0, ang = 0.0d0, sn = 0.0d0, cs = 1.0d0
+    real    :: asat, bsat, xsat
+    real    :: xsh, ysh, xvl, yvl
 
 ! local arrays
 !
@@ -1451,7 +1464,8 @@ module problem
     eksat   = 0.5d0 * dnsat  * vsat  * vsat
 #endif /* ADI */
     if (tsat .gt. 0.0d0) then
-      ang     = dpi * t / tsat
+      om      = dpi / tsat
+      ang     = om * t
       sn      = sin(ang)
       cs      = cos(ang)
     end if
@@ -1460,6 +1474,8 @@ module problem
     bsat    = sqrt(asat * asat - xsat * xsat)
     xsh     = asat * cs - xsat
     ysh     = bsat * sn
+    xvl     = - asat * om * sn
+    yvl     =   bsat * om * cs
 
 ! calculate cell sizes
 !
@@ -1533,8 +1549,8 @@ module problem
           if (rs .le. max(rsat, dr)) then
 
             pdata%u(idn,i,j,k) = dnsat
-            pdata%u(imx,i,j,k) = pdata%u(idn,i,j,k) * vrsat * xs
+            pdata%u(imx,i,j,k) = pdata%u(idn,i,j,k) * (vrsat * xs + xvl)
-            pdata%u(imy,i,j,k) = pdata%u(idn,i,j,k) * vrsat * ys
+            pdata%u(imy,i,j,k) = pdata%u(idn,i,j,k) * (vrsat * ys + yvl)
 #if NDIMS == 2
             pdata%u(imz,i,j,k) = 0.0d0
 #endif /* NDIMS == 2 */