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3. XXX

3.1. xxx

In module Integrator_hermite:

   def force(wl, era)
 p "hermite_force" if $STARTUP
     @acc, @jerk = era.acc_and_jerk(wl, @pos, @vel, @time)
   end
and in module Integrator_force_default

   def startup_force(wl, era)
 $STARTUP = true
 p "entering startup_force"
     force(wl, era)
 p "exiting startup_force"
 $STARTUP = false
   end

   def force(wl, era)
 p "normal_force" if $STARTUP
     @acc = era.acc(wl, @pos, @time)
   end
This shows that what we do here is safe:

 <kamuy|indiv_timesteps_3> kali mkplummer.rb -n 5 -s 1 | kali world3.rb -t 1
 ==> Plummer's Model Builder <==
 Number of particles            : N = 5
 pseudorandom number seed given : 1
 Floating point precision       : precision = 16
 Incremental indentation                : add_indent = 2
              actual seed used  : 1
 ==> Individual Time Step, Individual Integration Scheme Code <==
 Choice of integration method   : integration_method = hermite
 Determines the time step size  : dt_param = 0.01
 Initial timescale factor       : init_timescale_factor = 0.01
 Duration of an era             : dt_era = 0.01
 Maximum time step (units dt_era): dt_max_param = 1.0
 Diagnostics output interval    : dt_dia = 1.0
 Snapshot output interval       : dt_out = 1.0
 Asynchronous output interval   : async_output_interval = 0
 Duration of the integration    : t = 1.0
 Floating point precision       : precision = 16
 Incremental indentation                : add_indent = 2
 "entering startup_force"
 "hermite_force"
 "exiting startup_force"
 "entering startup_force"
 "hermite_force"
 "exiting startup_force"
 "entering startup_force"
 "hermite_force"
 "exiting startup_force"
 "entering startup_force"
 "hermite_force"
 "exiting startup_force"
 "entering startup_force"
 "hermite_force"
 "exiting startup_force"
 at time t = 0 (from interpolation after 0 steps to time 0):
     E_kin = 0.376 ,     E_pot =  -0.351 ,      E_tot = 0.0255
        E_tot - E_init = 0
         (E_tot - E_init) / E_init = 0
 at time t = 1 (from interpolation after 2300 steps to time 1):
     E_kin = 0.295 ,     E_pot =  -0.269 ,      E_tot = 0.0255
        E_tot - E_init = 1.04e-10
         (E_tot - E_init) / E_init = 4.08e-09
 ACS
   NBody 
     Array body
       Body body[0]
         Vector acc
             -3.3926697902326147e-01  -3.5469282500536559e-01   3.3887816489405043e-01
         Float dt_param
              1.0000000000000000e-02
 ....
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