VAP Lapping Event Summary July 2016 Produced July 13 2016 Justin Atchison and Fazle Siddique

Terminology The following terms are used: where Δ𝐿𝜙= 𝐿 𝐴 cos 𝜙 𝐴 − 𝐿 𝐵 cos 𝜙 𝐵 2 + 𝐿 𝐴 sin 𝜙 𝐴 − 𝐿 𝐵 sin 𝜙 𝐵 2 𝐿= 𝑟 cos 𝜆 2 𝑟= 𝑥 2 + 𝑦 2 + 𝑧 2 𝜆= atan 𝑧 𝑆𝑀 𝑥 𝑆𝑀 2 + 𝑦 𝑆𝑀 2 𝜙= atan 𝑥 𝑆𝑀 𝑦 𝑆𝑀 and SM denotes a coordinate in the solar magnetic system, and A and B refer to the two spacecraft. The difference in values is taken with B subtracted from A: ∆F(x) = ∆F(xA) - ∆F(xB)

July 2016 Lapping Event (Definitive)

July 2016 Lapping Event (Definitive) #1 06-Jul-2016 16:03:44 Alt at Conj: 4.755 Re Min L-Az Range: 1172.286 km MLT: ( 1.587, 1.465) Hr L: ( 5.758, 5.758) Re ZSM: (-840.459, -1260.258) km Delta MLT: 0.12194 Hr DeltaL: -0.575 km |Delta ZSM|: 419.799 km --------- #2 07-Jul-2016 01:09:24 Alt at Conj: 4.764 Re Min L-Az Range: 324.217 km MLT: ( 1.261, 1.227) Hr L: ( 5.806, 5.808) Re ZSM: (-3158.470, -3919.370) km Delta MLT: 0.03343 Hr DeltaL: -7.766 km |Delta ZSM|: 760.900 km #3 07-Jul-2016 09:55:06 Alt at Conj: 4.750 Re Min L-Az Range: 224.214 km MLT: ( 1.821, 1.844) Hr L: ( 5.922, 5.924) Re ZSM: (6255.666, 5458.680) km Delta MLT: -0.02264 Hr DeltaL: -11.932 km |Delta ZSM|: 796.986 km #4 07-Jul-2016 19:26:38 Alt at Conj: 4.746 Re Min L-Az Range: 813.145 km MLT: ( 0.983, 1.067) Hr L: ( 5.821, 5.805) Re ZSM: (-4140.298, -5119.494) km Delta MLT: -0.08318 Hr DeltaL: 97.220 km |Delta ZSM|: 979.196 km #5 08-Jul-2016 04:14:56 Alt at Conj: 4.760 Re Min L-Az Range: 1734.005 km MLT: ( 1.256, 1.436) Hr L: ( 5.773, 5.760) Re ZSM: (1764.307, 951.004) km Delta MLT: -0.17988 Hr DeltaL: 84.590 km |Delta ZSM|: 813.303 km --------- #6 08-Jul-2016 11:44:16 Alt at Conj: 4.412 Re Min L-Az Range: 1979.882 km MLT: ( 2.652, 2.834) Hr L: ( 5.453, 5.617) Re ZSM: (2992.298, 1796.314) km Delta MLT: -0.18198 Hr DeltaL: -1044.967 km |Delta ZSM|: 1195.983 km #7 09-Jul-2016 01:20:42 Alt at Conj: 2.189 Re Min L-Az Range: 1571.006 km MLT: ( 21.852, 21.957) Hr L: ( 3.190, 2.959) Re ZSM: (-337.265, -604.202) km Delta MLT: -0.10505 Hr DeltaL: 1475.698 km |Delta ZSM|: 266.937 km #8 09-Jul-2016 03:22:06 Alt at Conj: 1.766 Re Min L-Az Range: 1682.787 km MLT: ( 5.409, 5.498) Hr L: ( 2.766, 3.021) Re ZSM: (-23.520, -241.584) km Delta MLT: -0.08885 Hr DeltaL: -1627.230 km |Delta ZSM|: 218.064 km #9 09-Jul-2016 11:15:54 Alt at Conj: 0.226 Re Min L-Az Range: 301.959 km MLT: ( 16.473, 16.397) Hr L: ( 1.228, 1.187) Re ZSM: (323.555, 398.298) km Delta MLT: 0.07555 Hr DeltaL: 260.733 km |Delta ZSM|: 74.743 km --------- #10 09-Jul-2016 11:33:11 Alt at Conj: 0.187 Re Min L-Az Range: 275.329 km MLT: ( 11.384, 11.325) Hr L: ( 1.290, 1.328) Re ZSM: (-2136.898, -2104.574) km Delta MLT: 0.05861 Hr DeltaL: -243.716 km |Delta ZSM|: 32.324 km

Current Predicted Close Approach Times The predicted time intervals where the spacecraft to spacecraft range is less than 1,000 km:          Start Time (UTCG)           Stop Time (UTCG)    ------------------------      ------------------------  9 Aug 2016 14:21:31.720 9 Aug 2016 15:06:54.567 9 Aug 2016 23:27:39.143 10 Aug 2016 00:06:47.251 12 Aug 2016 00:30:58.495 12 Aug 2016 01:33:18.452 11 Sep 2016 19:04:13.922 11 Sep 2016 19:36:40.557 12 Sep 2016 03:52:11.915 12 Sep 2016 04:52:19.061 12 Sep 2016 12:59:20.376 12 Sep 2016 13:51:19.893 14 Sep 2016 14:10:45.265 14 Sep 2016 15:09:39.014 15 Oct 2016 08:32:58.267 15 Oct 2016 09:21:09.682 15 Oct 2016 17:25:00.858 15 Oct 2016 18:32:11.028 16 Oct 2016 02:36:16.300 16 Oct 2016 03:25:56.055 18 Oct 2016 03:50:07.290 18 Oct 2016 04:45:00.298 17 Nov 2016 22:08:27.858 17 Nov 2016 22:57:22.107 18 Nov 2016 07:04:46.993 18 Nov 2016 08:03:27.781 20 Nov 2016 17:29:19.843 20 Nov 2016 18:18:51.511 21 Dec 2016 11:51:09.018 21 Dec 2016 12:27:05.372 21 Dec 2016 21:05:37.031 21 Dec 2016 21:15:08.008 24 Dec 2016 07:09:45.360 24 Dec 2016 07:50:38.958 Note: This data is released weekly via the Nav Data Products email.

August 2016 Lapping Event (Predictive)

August 2016 Lapping Event (Predictive) #1 09-Aug-2016 05:33:55 Alt at Conj: 4.741 Re Min L-Az Range: 922.735 km MLT: ( 2.837, 2.746) Hr L: ( 6.029, 6.024) Re ZSM: (8010.727, 7390.603) km Delta MLT: 0.09163 Hr DeltaL: 34.801 km |Delta ZSM|: 620.124 km --------- #2 09-Aug-2016 14:40:52 Alt at Conj: 4.760 Re Min L-Az Range: 369.357 km MLT: ( 2.961, 2.923) Hr L: ( 5.788, 5.786) Re ZSM: (2577.355, 1940.845) km Delta MLT: 0.03820 Hr DeltaL: 11.078 km |Delta ZSM|: 636.510 km #3 09-Aug-2016 23:46:00 Alt at Conj: 4.767 Re Min L-Az Range: 515.211 km MLT: ( 2.515, 2.568) Hr L: ( 5.767, 5.767) Re ZSM: (-132.725, -859.880) km Delta MLT: -0.05350 Hr DeltaL: 1.767 km |Delta ZSM|: 727.154 km #4 10-Aug-2016 08:14:50 Alt at Conj: 4.709 Re Min L-Az Range: 1104.736 km MLT: ( 3.153, 3.258) Hr L: ( 6.091, 6.129) Re ZSM: (9117.862, 8369.667) km Delta MLT: -0.10559 Hr DeltaL: -244.691 km |Delta ZSM|: 748.195 km #5 10-Aug-2016 18:10:32 Alt at Conj: 4.728 Re Min L-Az Range: 1643.065 km MLT: ( 2.316, 2.487) Hr L: ( 5.731, 5.696) Re ZSM: (-838.833, -1918.158) km Delta MLT: -0.17066 Hr DeltaL: 221.142 km |Delta ZSM|: 1079.325 km --------- #6 11-Aug-2016 15:08:32 Alt at Conj: 1.910 Re Min L-Az Range: 1811.514 km MLT: ( 23.075, 23.129) Hr L: ( 3.174, 2.893) Re ZSM: (5348.763, 4844.524) km Delta MLT: -0.05385 Hr DeltaL: 1790.911 km |Delta ZSM|: 504.239 km #7 11-Aug-2016 16:57:37 Alt at Conj: 1.667 Re Min L-Az Range: 2021.052 km MLT: ( 6.876, 6.944) Hr L: ( 2.831, 3.143) Re ZSM: (-4093.173, -4876.502) km Delta MLT: -0.06836 Hr DeltaL: -1992.173 km |Delta ZSM|: 783.329 km #8 12-Aug-2016 01:07:24 Alt at Conj: 0.114 Re Min L-Az Range: 288.975 km MLT: ( 13.455, 13.328) Hr L: ( 1.116, 1.142) Re ZSM: (-347.457, -244.724) km Delta MLT: 0.12647 Hr DeltaL: -163.249 km |Delta ZSM|: 102.733 km