I THINK that the single shooter is ok. I can always improve it later

julia/test/single_shoot.jl

@@ -0,0 +1,31 @@
+@testset "Single Shooting" begin
+
+  # Initial Setup
+  sc = Sc("test")
+  a = rand(15000:1.:40000)
+  e = rand(0.01:0.01:0.5)
+  i = rand(0.01:0.01:π/6)
+  T = 2π*√(a^3/μs["Earth"])
+  n = 50
+
+  # A simple orbit raising
+  start = oe_to_xyz([ a, e, i, 0., 0., 0. ], μs["Earth"])
+  ΔVs = repeat([0.6, 0., 0.]', outer=(n,1))
+  final = prop(ΔVs, start, sc, μs["Earth"], T)[1][end,:]
+
+  # This should be close enough to 0.6
+  x0 = repeat([atanh((0.4-0.5)/0.5), 0., 0.], n)
+  result = single_shoot(start, final, sc, μs["Earth"], 0.0, T, n, x0)
+
+  # Test and plot
+  @test converged(result)
+  path1 = prop(zeros((100,3)), start, sc, μs["Earth"], T)[1]
+  path2, mass = prop(treat_inputs(result.zero, n), start, sc, μs["Earth"], T)
+  path3 = prop(zeros((100,3)), path2[end,:], sc, μs["Earth"], T)[1]
+  savefig(plot_orbits([path1, path2, path3]), "single_shoot_test.html")
+  if converged(result)
+    @test norm(path2[end,:] - final) < 2e-2
+    sc = Sc("test")
+  end
+
+end