Orbit

A cloaked Romulan spacecraft with a weaponized germ is in elliptical polar orbit. It's velocity is such that it circles the player's planet every 12 to 36 hours. 10,000 miles on closets approach, 30,000 at farthest. The germ will not survive a photon blast within a 5000 mile radius. The Romulans will be leaving in 7 hours. The player can launch a photon torpedo into orbit with a distance detonator at a chosen angle once per hour. When a photon torpedo, the distance the Romulan ship was from the explosion can be calculated and is shown to the player. There is actual a mathematical equation that will make this task doable by the third shot (unless the players manages a lucky shot earlier).
<math><mi>D</mi><mo>=</mo><msqrt><mrow><msup><mi>R</mi><mn>2</mn></msup></mrow><mo>+</mo><mrow><msup><mrow><mo stretchy="false">(</mo><msub><mrow><mi>D</mi></mrow><mrow><mi>1</mi></mrow></msub><mo stretchy="false">)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow><mo>+</mo><mi>R</mi><mo>*</mo><msub><mrow><mi>D</mi></mrow><mrow><mi>1</mi></mrow></msub><mo>*</mo><mi>cos</mi><mo>(</mo><mi>A</mi><mo>-</mo><msub><mrow><mi>A</mi></mrow><mrow><mi>1</mi></mrow></msub><mo>)</mo></msqrt></math>
OR
D=SQR(R**2+D1**2+R*D1*COS (A-A1)) (ancient BASIC)
OR
D=SQR(R^2+D1^2+R*D1*COS (A-A1))

zerothis # 2017-04-01 20:15:11

hardware: 8086 CPU,

display: text

version of
Orbit (Apple II E)