VAP Lapping Event Summary Aug 2016 Produced Aug 30 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.

Aug 2016 Lapping Event (Definitive)

Aug 2016 Lapping Event (Definitive) #1 09-Aug-2016 05:33:54 Alt at Conj: 4.741 Re Min L-Az Range: 920.709 km MLT: ( 2.837, 2.746) Hr L: ( 6.029, 6.024) Re ZSM: (8010.200, 7390.415) km Delta MLT: 0.09143 Hr DeltaL: 34.820 km |Delta ZSM|: 619.784 km --------- #2 09-Aug-2016 14:40:50 Alt at Conj: 4.760 Re Min L-Az Range: 367.394 km MLT: ( 2.961, 2.923) Hr L: ( 5.788, 5.787) Re ZSM: (2577.850, 1941.242) km Delta MLT: 0.03800 Hr DeltaL: 10.736 km |Delta ZSM|: 636.608 km #3 09-Aug-2016 23:45:59 Alt at Conj: 4.767 Re Min L-Az Range: 517.139 km MLT: ( 2.515, 2.568) Hr L: ( 5.767, 5.767) Re ZSM: (-133.480, -860.144) km Delta MLT: -0.05370 Hr DeltaL: 1.803 km |Delta ZSM|: 726.664 km #4 10-Aug-2016 08:14:46 Alt at Conj: 4.709 Re Min L-Az Range: 1106.887 km MLT: ( 3.153, 3.259) Hr L: ( 6.091, 6.129) Re ZSM: (9116.869, 8368.983) km Delta MLT: -0.10579 Hr DeltaL: -245.525 km |Delta ZSM|: 747.886 km #5 10-Aug-2016 18:10:39 Alt at Conj: 4.728 Re Min L-Az Range: 1645.064 km MLT: ( 2.314, 2.485) Hr L: ( 5.731, 5.696) Re ZSM: (-837.029, -1915.789) km Delta MLT: -0.17086 Hr DeltaL: 223.182 km |Delta ZSM|: 1078.759 km --------- #6 11-Aug-2016 15:08:38 Alt at Conj: 1.906 Re Min L-Az Range: 1808.499 km MLT: ( 23.068, 23.122) Hr L: ( 3.169, 2.889) Re ZSM: (5342.960, 4840.208) km Delta MLT: -0.05358 Hr DeltaL: 1788.123 km |Delta ZSM|: 502.752 km #7 11-Aug-2016 16:57:26 Alt at Conj: 1.662 Re Min L-Az Range: 2018.201 km MLT: ( 6.884, 6.952) Hr L: ( 2.826, 3.138) Re ZSM: (-4090.244, -4872.000) km Delta MLT: -0.06785 Hr DeltaL: -1989.803 km |Delta ZSM|: 781.756 km #8 12-Aug-2016 01:07:00 Alt at Conj: 0.110 Re Min L-Az Range: 279.559 km MLT: ( 13.568, 13.442) Hr L: ( 1.113, 1.136) Re ZSM: (-351.130, -245.252) km Delta MLT: 0.12610 Hr DeltaL: -148.679 km |Delta ZSM|: 105.877 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) ------------------------ ------------------------ 11 Sep 2016 19:03:55.221 11 Sep 2016 19:36:48.827 12 Sep 2016 03:52:03.178 12 Sep 2016 04:52:18.008 12 Sep 2016 12:59:28.866 12 Sep 2016 13:51:03.742 14 Sep 2016 14:10:56.505 14 Sep 2016 15:09:17.496 15 Oct 2016 08:32:35.565 15 Oct 2016 09:21:14.958 15 Oct 2016 17:24:49.424 15 Oct 2016 18:32:06.018 16 Oct 2016 02:36:44.000 16 Oct 2016 03:25:14.842 18 Oct 2016 03:50:27.432 18 Oct 2016 04:44:22.113 17 Nov 2016 22:08:05.517 17 Nov 2016 22:57:25.932 18 Nov 2016 07:04:42.495 18 Nov 2016 08:03:14.692 20 Nov 2016 17:29:53.118 20 Nov 2016 18:17:57.652 21 Dec 2016 11:50:55.650 21 Dec 2016 12:27:06.764 21 Dec 2016 21:09:35.079 21 Dec 2016 21:10:59.144 24 Dec 2016 07:10:37.841 24 Dec 2016 07:49:31.669 24 Jan 2017 01:41:28.498 24 Jan 2017 01:51:17.777 26 Jan 2017 20:54:33.350 26 Jan 2017 21:18:10.479 26 Feb 2017 06:11:23.761 26 Feb 2017 06:32:57.922 26 Feb 2017 15:18:31.994 26 Feb 2017 15:29:39.429 31 Mar 2017 10:45:14.118 31 Mar 2017 11:09:43.483 31 Mar 2017 19:35:43.484 31 Mar 2017 20:21:53.908 1 Apr 2017 04:44:56.509 1 Apr 2017 05:16:53.447 Note: This data is released weekly via the Nav Data Products email.

Sep 2016 Lapping Event (Predictive)

Sep 2016 Lapping Event (Predictive) #1 11-Sep-2016 19:20:10 Alt at Conj: 4.760 Re Min L-Az Range: 703.377 km MLT: ( 3.795, 3.721) Hr L: ( 5.761, 5.760) Re ZSM: (-409.586, -808.571) km Delta MLT: 0.07313 Hr DeltaL: 6.781 km |Delta ZSM|: 398.986 km --------- #2 12-Sep-2016 04:12:06 Alt at Conj: 4.751 Re Min L-Az Range: 5.734 km MLT: ( 3.835, 3.835) Hr L: ( 6.233, 6.233) Re ZSM: (10201.261, 9823.486) km Delta MLT: -0.00055 Hr DeltaL: -0.075 km |Delta ZSM|: 377.775 km #3 12-Sep-2016 13:14:52 Alt at Conj: 4.761 Re Min L-Az Range: 548.462 km MLT: ( 4.028, 4.083) Hr L: ( 5.876, 5.882) Re ZSM: (5133.735, 4548.956) km Delta MLT: -0.05570 Hr DeltaL: -42.299 km |Delta ZSM|: 584.779 km #4 12-Sep-2016 22:24:26 Alt at Conj: 4.770 Re Min L-Az Range: 1372.934 km MLT: ( 3.638, 3.780) Hr L: ( 5.786, 5.785) Re ZSM: (1916.056, 1542.178) km Delta MLT: -0.14212 Hr DeltaL: 7.083 km |Delta ZSM|: 373.877 km #5 14-Sep-2016 04:40:52 Alt at Conj: 2.079 Re Min L-Az Range: 1565.760 km MLT: ( 0.046, 0.150) Hr L: ( 3.153, 2.922) Re ZSM: (3002.732, 3062.150) km Delta MLT: -0.10382 Hr DeltaL: 1474.718 km |Delta ZSM|: 59.418 km --------- #6 14-Sep-2016 06:43:46 Alt at Conj: 1.938 Re Min L-Az Range: 1567.496 km MLT: ( 7.569, 7.692) Hr L: ( 2.989, 3.214) Re ZSM: (2453.941, 1964.395) km Delta MLT: -0.12320 Hr DeltaL: -1431.953 km |Delta ZSM|: 489.546 km #7 14-Sep-2016 14:42:45 Alt at Conj: 0.094 Re Min L-Az Range: 252.573 km MLT: ( 15.563, 15.434) Hr L: ( 1.106, 1.119) Re ZSM: (-745.498, -745.597) km Delta MLT: 0.12897 Hr DeltaL: -80.007 km |Delta ZSM|: 0.099 km