Triplanetary/Mayday Style Newtonian Motion at Different Spatial and Temporal Scales
Meant for use with these sorts of star system maps
Travel between astronomical objects is Newtonian, in the style of Triplanetary or Mayday (1978)1: Draw vectors and, if desired, change the predicted location by a number of hexes corresponding to the acceleration rating of the ship. Movement rules are the same on each map, except that length of a turn varies by map scale. The time light takes to traverse a given hex has been given for reference: This may be of significance for detection and response in hostile systems, and is unavoidably of importance when sending and receiving messages.
If moving between scales reference the transition tables below: The first column is speed at the original scale, cross reference this with the transition being made to find speed at the new scale. When moving from a coarser scale to a fine at velocity 0 or velocity 1, the ship has a choice of what velocity to use within given ranges.
Gravity only affects ships travelling at the 100,000 Km tactical scale.
| Hex Size | Turn Length | Light travel time |
|---|---|---|
| 100,000 Km | 1 Hour | 1/3 Second |
| 10 M Km | 8 Hours | 30 Seconds |
| 100 M Km | 1 Day | 6 Minutes |
| 500 M Km | 2 Days | 30 Minutes |
| 10 B Km | 9 Days | 1 Hour |
| Fine --> Coarse Transitions | 100k --> 10M | 10M --> 100M | 100M --> 500M | 500M --> 10 B |
|---|---|---|---|---|
| 1 | 0 | 0 | 0 | 0 |
| 2 | 0 | 1 | 1 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 0 | 1 | 2 | 1 |
| 5 | 0 | 2 | 2 | 1 |
| 6 | 0 | 2 | 2 | 1 |
| 7 | 1 | 2 | 3 | 2 |
| 8 | 1 | 2 | 3 | 2 |
| 9 | 1 | 3 | 4 | 2 |
| 10 | 1 | 3 | 4 | 2 |
| 11 | 1 | 3 | 4 | 2 |
| 12 | 1 | 4 | 5 | 3 |
| Coarse --> Fine Transitions | 10M --> 100k | 100M --> 10M | 500M --> 100M | 10B --> 500M |
|---|---|---|---|---|
| 0 | 0 to 6 | 0 to 2 | 0 to 1 | 0 to 2 |
| 1 | 7 to 13 | 3 | 3 | 4 |
| 2 | 25 | 7 | 5 | 9 |
| 3 | 38 | 10 | 8 | 13 |
| 4 | 50 | 13 | 10 | 18 |
| 5 | 63 | 17 | 13 | 22 |
| 6 | 75 | 20 | 15 | 27 |
| 7 | 88 | 23 | 18 | 31 |
| 8 | 100 | 27 | 20 | 36 |
| 9 | 113 | 30 | 23 | 40 |
| 10 | 125 | 33 | 25 | 44 |
| 11 | 138 | 37 | 28 | 49 |
| 12 | 150 | 40 | 30 | 53 |
This is extremely easy to use with TlDraw or equivalent - draw the vector, copy the vector line, and then move it forward until the end is on the same hex as the ship.↩