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If you are not afraid of some hacking, Kerbal Space Program may be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be.
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that.
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• One of the "real solar system" or planetary system editors, to set up a scene.

This should do a reasonably good job to simulate movement in space.

Note about relativity: 750 g acceleration for 30 minutes gives us merely 4.4% of speed of light. This is substantial, but too small for most readers to notice difference. Thus, KSP being Newtonian only does not disqualify it. And OP asked for Newtonian anyway.

Of course, Cort Ammon reminded me of Obligatory XKCD!

If you are not afraid of some hacking, Kerbal Space Program may be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be.
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that.
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• One of the "real solar system" or planetary system editors, to set up a scene.
• Mod that allows acceleration of not focused ships. I have one installed, with solar sail or ion engine, will fill this bullet point when I'm near my computer.

This should do a reasonably good job to simulate movement in space.

Note about relativity: 750 g acceleration for 30 minutes gives us merely 4.4% of speed of light. This is substantial, but too small for most readers to notice difference. Thus, KSP being Newtonian only does not disqualify it. And OP asked for Newtonian anyway.

Of course, Cort Ammon reminded me of Obligatory XKCD!

If you are not afraid of some hacking, Kerbal Space Program may be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be.
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that.
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• One of the "real solar system" or planetary system editors, to set up a scene.

This should do a reasonably good job to simulate movement in space.

Of course, Cort Ammon reminded me of Obligatory XKCD!

If you are not afraid of some hacking, Kerbal Space Program may be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be.
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that.
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• One of the "real solar system" or planetary system editors, to set up a scene.

This should do a reasonably good job to simulate movement in space.

Note about relativity: 750 g acceleration for 30 minutes gives us merely 4.4% of speed of light. This is substantial, but too small for most readers to notice difference. Thus, KSP being Newtonian only does not disqualify it. And OP asked for Newtonian anyway.

Of course, Cort Ammon reminded me of Obligatory XKCD!

If you are not afraid of some hacking, Kerbal Space Program be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• one of the "real solar system" or planetary system editors, to set up a scene.

This should do a reasonably good job to simulate movement in space.

If you are not afraid of some hacking, Kerbal Space Program may be your answer. It's a game, but with physics reasonably close to what you have in real life. It has time warp option and good trajectory and time calculations.

You will need some add-ons:

• HyperEdit to put things where you want them to be.
• One of the "infinite fuel" mods or tricks, unless you actually want to care about that.
• MechJeb or something similar if you want autopilot, and for your purposes you probably want.
• One of the "real solar system" or planetary system editors, to set up a scene.

This should do a reasonably good job to simulate movement in space.

Of course, Cort Ammon reminded me of Obligatory XKCD!