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Communications Equipment Horizontal crash

Introducing a new communication system for lunar landings that ensures safe horizontal sliding without causing damage upon impact. Detailed computer code analysis and crash time calculations provided.

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Communications Equipment Horizontal crash

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  1. Communications EquipmentHorizontal crash Trenten Muller Feb. 19, 2009 [Trenten Muller] [COM]

  2. New communication system suitable for all phases [Trenten Muller] [COM]

  3. Horizontal Sliding • Represents the Lander sliding on Lunar surface without skipping, digging in, or creating a crater immediately upon impact. • Given the unpredictable nature and the long slide distance I would advise against landing with significant horizontal velocity. [Trenten Muller] [COM]

  4. Computer Code [Trenten Muller] [COM] clear all close all clc vhor = linspace(0,2500,10000); %horizontal velocity m/s % vver = linspace(0,50,1000); %vertical velocity m/s mass = 163.49; %mass of dry lander kg earthg = 9.80665; %gravitational constant of Earth m/s^2 moong = 1.622; %gravitational constant of moon m/s^2 coeff = 0.18; %coefficient of friction for regolith normf10 = mass * (moong+10*earthg); %normal force N coming in at 10g normf15 = mass * (moong+15*earthg); %normal force N coming in at 15g normf20 = mass * (moong+20*earthg); %normal force N coming in at 20g ff10 = normf10 * coeff; %frictional force N 10g ff15 = normf15 * coeff; %frictional force N 15g ff20 = normf20 * coeff; %frictional force N 20g horaccel10 = ff10 / mass; %horizontal acceleration m/s^2 10g horaccel15 = ff15 / mass; %horizontal acceleration m/s^2 15 horaccel20 = ff20 / mass; %horizontal acceleration m/s^2 20g

  5. [Trenten Muller] [COM] crashth10 = vhor ./ horaccel10; %time for horizontal impact s 10g crashth15 = vhor ./ horaccel15; %time for horizontal impact s 15g crashth20 = vhor ./ horaccel20; %time for horizontal impact s 20g dist10 = vhor.*crashth10-.5.*horaccel10.*crashth10.^2; %horizontal distance m 10g dist15 = vhor.*crashth15-.5.*horaccel15.*crashth15.^2; %horizontal distance m 15g dist20 = vhor.*crashth20-.5.*horaccel20.*crashth20.^2; %horizontal distance m 10g % crashtv = .01; %estimated time for vertical impact s % veraccel = -vver ./ crashtv; %vertical acceleration m/s^2 % vg = veraccel ./ -earthg; %vertical g load plot(vhor.*10^-3,dist10.*10^-3) hold on plot(vhor.*10^-3,dist15.*10^-3,'r') plot(vhor.*10^-3,dist20.*10^-3,'g') hold off

  6. [Trenten Muller] [COM] legend('10g','15g','20g') title('skid distance vs. horizontal velocity') ylabel('distance (km)') xlabel('horizontal velocity (km/sec)') grid on % figure(2) % plot(vver,vg) % title('g^,s vs. vertical velocity') % xlabel('vertical velocity (m/s)') % ylabel('earth g^,s') % grid on % hold on % plot(vver,15,'r')

  7. References [Trenten Muller] [COM] Creel et al., “Pressurized Lunar Rover,” Dept. of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, May 1992. ~coefficient of friction for Lunar regolith

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