Being new to the forum, I am trying to thread lightly...
I am not sure if my experience is unique, but it is repeatable:
After arriving at a star and supercruising to a station will take substantially less time than starting from the station and supercruising to the star. First I thought "it is gravity, stupid!", but the calculations don't seem to hold that view.
Example: Kamadhenu system
The star Kamadhenu is 0.8008 solar mass, which is 1.59279*10^(30) kg. You arrive around 3.70 Ls away from the star. This gives on a Python (let's assume 350 t, so 350,000 kg) approximately 30,241 kN force of pulling.
Having the star behind the ship and facing the closest station (Shajn Market), and hitting full throttle, I can reach 5.0 c speed in around 19 s.
This means that the ship has enough power to overcome the 30+ MN gravitational pull and add continuously to the speed (i.e., accelerate) to reach 5 c in less than 20 seconds.
After arriving at the station, I position the ship so that the planet, Kamadhenu 1, having a 2.1624 Earth mass, so around 1.29139*10^(25) kg, exerting a gravitational pulling force of 149 kN on the Python at 0.15 Ls distance to the planet, is behind the ship, and hit full throttle again. I can accelerate to 5.0 c speed in around 54 s (!!!).
This means that suddenly the same ship does not have enough power to overcome a considerably smaller gravitational pull and cannot accelerate to 5 c in 20 seconds, it needs more than twice that time. Note that the planet's gravitational pull is a mere 0.49% of that of the star at the above mentioned starting distances, but nevertheless the ship struggles to accelerate, it can't even achieve what it could 'easily' when moving away from the star.
Just to be clear, even though I am closer to the planet than the star, the large difference in mass between planet and star results in a much smaller gravitational pull in the case of the planet, but still, I cannot accelerate to 5 c quicker than in the case of the same trip starting from the star. This is even more strange that during the trip from the station to the star, the star is actually pulling the ship with around 2 N force in the beginning of the trip, away from the planet and towards the star.
Furthermore, if gravity was taken into account (and with the traditional way of calculating forces acting on the ship), than moving away from the star from the starting position of 3.7 Ls distance to around 37 Ls would mean that the ship has already overcome around 99% of the total gravitational pull of this star. In other words, its power can be used almost fully (99%) to increasing its speed.
Which is clearly not that case in supercruise, as it will limit the speed increase substantially when reaching the first 10-15% of the distance to be covered, compared to the original acceleration from the star (where you have the highest gravity pull in this system).
Something is clearly broken... maybe my calculations? Did someone made similar tests and calculations in other systems? (preferably single star, so you don't need to take into account multiple heavy celestial objects pulling on the ship...) Please let me know, especially if you have test data (flight time needed to reach 5 c) in other systems. I am willing to do the calculation, if needed.
[EDIT: I have made a mistake on converting the Python mass to kg at first, but now I have updated the calculated values for the gravitational pull forces to the correct ones.]
[EDIT2: if you want to jump to the part debunking the gravity based arguments based on an independent work measuring supercruise max speeds, see this post in the queue.]
I am not sure if my experience is unique, but it is repeatable:
After arriving at a star and supercruising to a station will take substantially less time than starting from the station and supercruising to the star. First I thought "it is gravity, stupid!", but the calculations don't seem to hold that view.
Example: Kamadhenu system
The star Kamadhenu is 0.8008 solar mass, which is 1.59279*10^(30) kg. You arrive around 3.70 Ls away from the star. This gives on a Python (let's assume 350 t, so 350,000 kg) approximately 30,241 kN force of pulling.
Having the star behind the ship and facing the closest station (Shajn Market), and hitting full throttle, I can reach 5.0 c speed in around 19 s.
This means that the ship has enough power to overcome the 30+ MN gravitational pull and add continuously to the speed (i.e., accelerate) to reach 5 c in less than 20 seconds.
After arriving at the station, I position the ship so that the planet, Kamadhenu 1, having a 2.1624 Earth mass, so around 1.29139*10^(25) kg, exerting a gravitational pulling force of 149 kN on the Python at 0.15 Ls distance to the planet, is behind the ship, and hit full throttle again. I can accelerate to 5.0 c speed in around 54 s (!!!).
This means that suddenly the same ship does not have enough power to overcome a considerably smaller gravitational pull and cannot accelerate to 5 c in 20 seconds, it needs more than twice that time. Note that the planet's gravitational pull is a mere 0.49% of that of the star at the above mentioned starting distances, but nevertheless the ship struggles to accelerate, it can't even achieve what it could 'easily' when moving away from the star.
Just to be clear, even though I am closer to the planet than the star, the large difference in mass between planet and star results in a much smaller gravitational pull in the case of the planet, but still, I cannot accelerate to 5 c quicker than in the case of the same trip starting from the star. This is even more strange that during the trip from the station to the star, the star is actually pulling the ship with around 2 N force in the beginning of the trip, away from the planet and towards the star.
Furthermore, if gravity was taken into account (and with the traditional way of calculating forces acting on the ship), than moving away from the star from the starting position of 3.7 Ls distance to around 37 Ls would mean that the ship has already overcome around 99% of the total gravitational pull of this star. In other words, its power can be used almost fully (99%) to increasing its speed.
Which is clearly not that case in supercruise, as it will limit the speed increase substantially when reaching the first 10-15% of the distance to be covered, compared to the original acceleration from the star (where you have the highest gravity pull in this system).
Something is clearly broken... maybe my calculations? Did someone made similar tests and calculations in other systems? (preferably single star, so you don't need to take into account multiple heavy celestial objects pulling on the ship...) Please let me know, especially if you have test data (flight time needed to reach 5 c) in other systems. I am willing to do the calculation, if needed.
[EDIT: I have made a mistake on converting the Python mass to kg at first, but now I have updated the calculated values for the gravitational pull forces to the correct ones.]
[EDIT2: if you want to jump to the part debunking the gravity based arguments based on an independent work measuring supercruise max speeds, see this post in the queue.]
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