In this answer I computed (methods given later in post) the estimated time, distance, range, and resolution for the science capture for New Horizon's closest approach to Ultima Thule (2014 MU69).
While looking through the images on APL's website I noticed a discrepancy in one set of values. Specifically, the numbers given for Range for all of the LORRI images from Ultima Thule on that site appear to be about 6.5 times too large bear no relation to the computed range. All of the rest of my results seem consistent except for that figure. Can anyone explain why I'm seeing a discrepancy?
An image detail screen with anomolous value highlighted
Source: LORRI Images from the Ultima Thule Flyby, NASA/JHU APL/SwRI, linked-to full-size image here
Filter by REQID: KELR_MU69_CA04-MAP_L1_2019001 then look for lor_0408624825_0x630_sci_7.jpg in the results
To be clear, I'm focusing one image here but I've seen similar for all of the LORRI images at Ultima Thule.
Here's a sample of my results for the time around when the above image was taken. Everything matches except for Range where I get ~28000 km and they list "182,686" (with no units given). For the Pluto encounter they used Mkm so having the units for this be km would make sense. The value they show though is about 6.5 times larger than what I computed. The "range" given doesn't seem at all related to the actual distance (or at least not consistently between image sequences). I tried miles, feet, etc. but nothing (except tenths-of-a-mile) comes close to fitting. Any ideas? Is it in in tenths-of-a-mile? Have I missed something obvious?
Summary of values
Below is a comparison of the values from the above example (taken during CA04) with those I computed (discrepancy in bold):
Value Published Computed
SCET 05:01:47 04:56 to 05:06
Distance not given -31900 to -23100 km
Range 182,686 32100 to 23350 km
Resolution ~140 m/px 159 to 115 m/px
Other images from the Ultima Thule encounter show similar discrepancies.
Here's a comparison with the preliminary schedule for a point during CA04:
Value Published Computed
Time K-2000 s -2209 to -1600 s
Distance ~-28800 km -31900 to -23100 km
Update: The "range" values for the raw images don't appear to be tenths-of-miles. They also don't seem to go in sequence between observation sets (CA01, CA04, etc.) but they do go in sequence within a set. Maybe it's something to do with transmit time or distance?
Image Time Range (raw) Range (processed) Notes
1 2019-01-01 05:01:47 182,686 28000 km/17000 mi Part of CA04 sequence
2 2019-01-01 04:22:19 148,795 61000 km/38000 mi Part of CA01 sequence
3 2018-12-31 09:38:13 826,749 N/A Last approach image
4 2018-12-31 07:02:03 961,979 N/A First "odd" image
5 2018-12-30 16:56:06 2 Mkm N/A Last image with km
- Processed images here or here
- Raw images linked from here:
1:KELR_MU69_CA04-MAP_L1_2019001 lor_0408624825_0x630_sci_7.jpg
2:KELR_MU69_CA01-MAP_L1_2019001 lor_0408622457_0x630_sci_6.jpg
3:KELR_MU69_APROTL_L14_2018365D lor_0408555011_0x630_sci_9.jpg
4:KELR_MU69_APROTL_L1_2018365A lor_0408545641_0x630_sci_9.jpg
5:KELR_MU69_ROTCOVER_L1_2018364B lor_0408494884_0x630_sci_7.jpg
My methodology
Velocity Velocity in km/s relative to closest approach point
(source data)
Taken from here (as of 2018-12-31)$V = 14.44\ \frac{\mathsf{km}}{\mathsf{s}}$
Distance Distance in km to point of closest approach
(source data)
Estimated from distances shown in the Imaging schedule diagram (see below). Negative for approach, positive for departure. Accuracy is about ±50 km. Note that UT's position is ±4000 km; I ignore this margin of error (assume it to be 0).$D = value\ estimated\ from\ diagram$
Time Seconds relative to closest approach
(computed value)$T = \frac{D}{V}$
SCET Spacecraft Event Time on 2019-01-01
Derived from time based on closest approach of 05:33:30 SCET (based on "05:33" from here). Format ishh:mm
. JHUAPL gives a more precise value of "05:33:00" which is 30 seconds earlier than what I used in my calculations.Field of view For LORRI
(source data)$FOV = 0.29\mathsf{°} \approx 0.005061455\ \mathsf{rad}$
Closest-approach distance
(source data)
Value is currently estimated as 3540 km; value used is 3500 km.$D_{min} = 3500\ \mathsf{km}$
Range Distance in km from spacecraft to 2014 MU69
(computed value, inconsistent with published values)
Values shown in table are rounded.$R = \sqrt{{D}^2 + {D_{min}}^2}$
Note that image resolution is computed from this. That result matches the published values.
Width of view View width in meters on a perpendicular plane at the range of Ultima Thule
(computed value)$W = 2 \cdot 1000 \frac{\mathsf{m}}{\mathsf{km}} \cdot \tan{\frac{FOV}{2}} \cdot R$
Sensor size LORRI sensor size in pixels for 1×1 mode
(source data)$S = 1024\ \mathsf{pixels}$
Resolution In meters per pixel
(computed value)$resolution = \frac{W}{S}$
Ultima Thule imaging schedule
Source: Ultima Thule Flyby Press Kit, p. 25, NASA/JHUAPL/SwRI
(cropped, edges cleaned up)
Preliminary Ultima Thule imaging schedule
Source: Earth-Based Support for the New Horizons Kuiper Extended Mission, p.7, NASA/SWRI
(cropped, edited to remove page number)