Recent changes to Manual page

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:21:46 -0000

--- v49
+++ v50
@@ -2,9 +2,9 @@
   1. [Definitions and Uniformity](#definitions-and-uniformity)
   1.1 [Convention about the semimajor axis and period](#convention-about-the-semimajor-axis-and-period)
   2. [Functions packs](#functions-packs)
-  2.1 [1. rv2oe functions](#1-rv2oe-functions) 
-  2.2 [2. oe2rv functions](#2-oe2rv-functions)
-  2.3 [3. Polar and perifocal frame of reference](#3-polar-and-perifocal-frame-of-reference)
+  2.1 [rv2oe functions](#1-rv2oe-functions) 
+  2.2 [oe2rv functions](#2-oe2rv-functions)
+  2.3 [Polar and perifocal frame of reference](#3-polar-and-perifocal-frame-of-reference)
   2.4 [time/position conversions](#4-timeposition-conversions)
   2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:21:08 -0000

--- v48
+++ v49
@@ -1,6 +1,6 @@
 #Table of contents
-  1. [Definitions and Uniformity](#Definitions and Uniformity)
-  1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
+  1. [Definitions and Uniformity](#definitions-and-uniformity)
+  1.1 [Convention about the semimajor axis and period](#convention-about-the-semimajor-axis-and-period)
   2. [Functions packs](#functions-packs)
   2.1 [1. rv2oe functions](#1-rv2oe-functions) 
   2.2 [2. oe2rv functions](#2-oe2rv-functions)
@@ -9,6 +9,8 @@
   2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

 #Definitions and Uniformity
+[\[top\]](#table-of-contents)
+
 The function names and their arguments agree with the following convention:
 ~~~  
   p  = semilatus rectum
@@ -28,6 +30,8 @@
 ~~~

 ##Convention about the semimajor axis and period
+[\[top\]](#table-of-contents)
+
 \* By convention, semimajor axis is the half of the range between the periapsis and the apoapsis. Thus, its is not fairly defined for the conics of type circle (e=0) and parabola (e=1). For these cases, the library agrees with the following convention:

    - semimajor axis is equivalent to the radius of the circumference, when eccentricity is equal zero;
@@ -36,6 +40,8 @@
 \*\* Analogously, period by definition is the time interval that a physical phenomenon takes to repeat. Thus, the period has not a fair meaning for unbound orbits: parabolic (e = 1) and hyperbolic ( e > 1 ). For these cases, the period is equivalent to 2\*pi/n, where the mean motion (n) is evaluated from the mass parameter (mu) and the specific angular momentum.

 #Functions packs
+[\[top\]](#table-of-contents)
+
 The library is subdivided into 5 packs:
 1. rv2{oe} are the functions that convert position (r) and velocity (v) vectors into orbital elements
 2. os2{rv} are the functions that convert the orbital elements into  position (r) and velocity (v) vectors
@@ -43,6 +49,8 @@
 4. time/position correlation functions are those to evaluate the anomalies in function of the flight time and vice-versa
 5. Set of auxiliary math functions and useful constants
 ##1. rv2oe functions
+[\[top\]](#table-of-contents)
+
 All of these functions must be feed with the following 7 arguments:

    rv2??( mu , x , y , z , vx , vy , vz )
@@ -65,6 +73,8 @@
 Note that for some types of output, not all the 7 input parameters are necessary. The mass parameter is not necessary to evaluate the positional angles, I, O and w, for instance. However, in order to avoid the user having to guess/memorize  what are the needed input parameters, this set of functions keeps the uniformity of the 7 input parameters.

 ##2. oe2rv functions
+[\[top\]](#table-of-contents)
+
 All of these functions must be feed with the following 7 arguments:

    oe2??( mu , a , e , I , O , w , f )
@@ -80,6 +90,8 @@
 Note that, analogously to the rv2oe, not all the 7 input parameters are necessary, but these functions keep the uniformity of the 7 input parameters.

 ##3. Polar and perifocal frame of reference
+[\[top\]](#table-of-contents)
+
 ~~~
   - polp(a,e)      returns semilatus rectum     given a and e
   - polr(a,e,f)    returns range from focus     given a, e and f
@@ -95,6 +107,8 @@
 ~~~

 ##4. time/position conversions
+[\[top\]](#table-of-contents)
+
 These functions were labelled in agreement of the A2B logic, i.e., returns B as function of A:
 ~~~
 f2E(e,f)    returns eccentric anomaly            given e and f

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:19:24 -0000

--- v47
+++ v48
@@ -1,10 +1,10 @@
 #Table of contents
   1. [Definitions and Uniformity](#Definitions and Uniformity)
   1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
-  2. [Functions packs](#Functions packs)
-  2.1 [1. rv2oe functions](##1. rv2oe functions) 
-  2.2 [2. oe2rv functions](##2. oe2rv functions)
-  2.3 [3. Polar and perifocal frame of reference](##3. Polar and perifocal frame of reference)
+  2. [Functions packs](#functions-packs)
+  2.1 [1. rv2oe functions](#1-rv2oe-functions) 
+  2.2 [2. oe2rv functions](#2-oe2rv-functions)
+  2.3 [3. Polar and perifocal frame of reference](#3-polar-and-perifocal-frame-of-reference)
   2.4 [time/position conversions](#4-timeposition-conversions)
   2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:18:13 -0000

--- v46
+++ v47
@@ -5,6 +5,8 @@
   2.1 [1. rv2oe functions](##1. rv2oe functions) 
   2.2 [2. oe2rv functions](##2. oe2rv functions)
   2.3 [3. Polar and perifocal frame of reference](##3. Polar and perifocal frame of reference)
+  2.4 [time/position conversions](#4-timeposition-conversions)
+  2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

 #Definitions and Uniformity
 The function names and their arguments agree with the following convention:
@@ -111,6 +113,7 @@
 You may also want to know more about the accuracy on [Newton-Raphson iterations] on solving the Kepler equations for the eccentric anomalies
 ##5. Available constants and auxiliary math functions
 [\[top\]](#table-of-contents)
+
 The following constants were taken from [GNU Units version 2.16](https://www.gnu.org/software/units/){:target="_blank"}, and are available for convenience. 
 Observe that they may diverge from those values gotten from [JPL Horizons](https://ssd.jpl.nasa.gov/horizons.cgi){:target="_blank"}.

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:15:33 -0000

--- v45
+++ v46
@@ -1,17 +1,11 @@
 #Table of contents
   1. [Definitions and Uniformity](#Definitions and Uniformity)
   1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
-  2. [Functions packs](#functions-packs)
-  2.1 [rv2oe functions](#1-rv2oe-functions) 
-  2.2 [oe2rv functions](#2-oe2rv-functions)
-  2.3 [Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
-  2.4 [time/position conversions](#4-timeposition-conversions)
-  2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)
-
-
------
-
-
+  2. [Functions packs](#Functions packs)
+  2.1 [1. rv2oe functions](##1. rv2oe functions) 
+  2.2 [2. oe2rv functions](##2. oe2rv functions)
+  2.3 [3. Polar and perifocal frame of reference](##3. Polar and perifocal frame of reference)
+  
 #Definitions and Uniformity
 The function names and their arguments agree with the following convention:
 ~~~  
@@ -39,8 +33,7 @@

 \*\* Analogously, period by definition is the time interval that a physical phenomenon takes to repeat. Thus, the period has not a fair meaning for unbound orbits: parabolic (e = 1) and hyperbolic ( e > 1 ). For these cases, the period is equivalent to 2\*pi/n, where the mean motion (n) is evaluated from the mass parameter (mu) and the specific angular momentum.

-#Functions packs 
-[\[top\]](#table-of-contents)
+#Functions packs
 The library is subdivided into 5 packs:
 1. rv2{oe} are the functions that convert position (r) and velocity (v) vectors into orbital elements
 2. os2{rv} are the functions that convert the orbital elements into  position (r) and velocity (v) vectors
@@ -48,7 +41,6 @@
 4. time/position correlation functions are those to evaluate the anomalies in function of the flight time and vice-versa
 5. Set of auxiliary math functions and useful constants
 ##1. rv2oe functions
-[\[top\]](#table-of-contents)
 All of these functions must be feed with the following 7 arguments:

    rv2??( mu , x , y , z , vx , vy , vz )
@@ -71,7 +63,6 @@
 Note that for some types of output, not all the 7 input parameters are necessary. The mass parameter is not necessary to evaluate the positional angles, I, O and w, for instance. However, in order to avoid the user having to guess/memorize  what are the needed input parameters, this set of functions keeps the uniformity of the 7 input parameters.

 ##2. oe2rv functions
-[\[top\]](#table-of-contents)
 All of these functions must be feed with the following 7 arguments:

    oe2??( mu , a , e , I , O , w , f )
@@ -87,7 +78,6 @@
 Note that, analogously to the rv2oe, not all the 7 input parameters are necessary, but these functions keep the uniformity of the 7 input parameters.

 ##3. Polar and perifocal frame of reference
-[\[top\]](#table-of-contents)
 ~~~
   - polp(a,e)      returns semilatus rectum     given a and e
   - polr(a,e,f)    returns range from focus     given a, e and f
@@ -103,8 +93,7 @@
 ~~~

 ##4. time/position conversions
-[\[top\]](#table-of-contents)
-These functions were labelled in agreement of the **A2B** logic, i.e., returns B as function of A:
+These functions were labelled in agreement of the A2B logic, i.e., returns B as function of A:
 ~~~
 f2E(e,f)    returns eccentric anomaly            given e and f
 E2M(e,E)    returns mean      anomaly            given e and E
@@ -121,6 +110,7 @@

 You may also want to know more about the accuracy on [Newton-Raphson iterations] on solving the Kepler equations for the eccentric anomalies
 ##5. Available constants and auxiliary math functions
+[\[top\]](#table-of-contents)
 The following constants were taken from [GNU Units version 2.16](https://www.gnu.org/software/units/){:target="_blank"}, and are available for convenience. 
 Observe that they may diverge from those values gotten from [JPL Horizons](https://ssd.jpl.nasa.gov/horizons.cgi){:target="_blank"}.

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:14:29 -0000

--- v44
+++ v45
@@ -2,7 +2,7 @@
   1. [Definitions and Uniformity](#Definitions and Uniformity)
   1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
   2. [Functions packs](#functions-packs)
-  2.1 [rv2oe functions](#1.-rv2oe-functions) 
+  2.1 [rv2oe functions](#1-rv2oe-functions) 
   2.2 [oe2rv functions](#2-oe2rv-functions)
   2.3 [Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
   2.4 [time/position conversions](#4-timeposition-conversions)
@@ -39,7 +39,8 @@

 \*\* Analogously, period by definition is the time interval that a physical phenomenon takes to repeat. Thus, the period has not a fair meaning for unbound orbits: parabolic (e = 1) and hyperbolic ( e > 1 ). For these cases, the period is equivalent to 2\*pi/n, where the mean motion (n) is evaluated from the mass parameter (mu) and the specific angular momentum.

-#Functions packs [\[home\]](#table-of-contents)
+#Functions packs 
+[\[top\]](#table-of-contents)
 The library is subdivided into 5 packs:
 1. rv2{oe} are the functions that convert position (r) and velocity (v) vectors into orbital elements
 2. os2{rv} are the functions that convert the orbital elements into  position (r) and velocity (v) vectors
@@ -47,6 +48,7 @@
 4. time/position correlation functions are those to evaluate the anomalies in function of the flight time and vice-versa
 5. Set of auxiliary math functions and useful constants
 ##1. rv2oe functions
+[\[top\]](#table-of-contents)
 All of these functions must be feed with the following 7 arguments:

    rv2??( mu , x , y , z , vx , vy , vz )
@@ -69,6 +71,7 @@
 Note that for some types of output, not all the 7 input parameters are necessary. The mass parameter is not necessary to evaluate the positional angles, I, O and w, for instance. However, in order to avoid the user having to guess/memorize  what are the needed input parameters, this set of functions keeps the uniformity of the 7 input parameters.

 ##2. oe2rv functions
+[\[top\]](#table-of-contents)
 All of these functions must be feed with the following 7 arguments:

    oe2??( mu , a , e , I , O , w , f )
@@ -84,6 +87,7 @@
 Note that, analogously to the rv2oe, not all the 7 input parameters are necessary, but these functions keep the uniformity of the 7 input parameters.

 ##3. Polar and perifocal frame of reference
+[\[top\]](#table-of-contents)
 ~~~
   - polp(a,e)      returns semilatus rectum     given a and e
   - polr(a,e,f)    returns range from focus     given a, e and f
@@ -99,7 +103,8 @@
 ~~~

 ##4. time/position conversions
-These functions were labelled in agreement of the A2B logic, i.e., returns B as function of A:
+[\[top\]](#table-of-contents)
+These functions were labelled in agreement of the **A2B** logic, i.e., returns B as function of A:
 ~~~
 f2E(e,f)    returns eccentric anomaly            given e and f
 E2M(e,E)    returns mean      anomaly            given e and E

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:12:30 -0000

--- v43
+++ v44
@@ -39,7 +39,7 @@

 \*\* Analogously, period by definition is the time interval that a physical phenomenon takes to repeat. Thus, the period has not a fair meaning for unbound orbits: parabolic (e = 1) and hyperbolic ( e > 1 ). For these cases, the period is equivalent to 2\*pi/n, where the mean motion (n) is evaluated from the mass parameter (mu) and the specific angular momentum.

-#Functions packs
+#Functions packs [\[home\]](#table-of-contents)
 The library is subdivided into 5 packs:
 1. rv2{oe} are the functions that convert position (r) and velocity (v) vectors into orbital elements
 2. os2{rv} are the functions that convert the orbital elements into  position (r) and velocity (v) vectors

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:11:13 -0000

--- v42
+++ v43
@@ -7,7 +7,11 @@
   2.3 [Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
   2.4 [time/position conversions](#4-timeposition-conversions)
   2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)
-  
+
+
+-----
+
+
 #Definitions and Uniformity
 The function names and their arguments agree with the following convention:
 ~~~

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:10:38 -0000

--- v41
+++ v42
@@ -2,11 +2,11 @@
   1. [Definitions and Uniformity](#Definitions and Uniformity)
   1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
   2. [Functions packs](#functions-packs)
-  2.1 [1. rv2oe functions](#1.-rv2oe-functions) 
-  2.2 [2. oe2rv functions](#2-oe2rv-functions)
-  2.3 [3. Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
-  2.4 [4. time/position conversions](#4-time/position-conversions)
-  2.5 [5. Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)
+  2.1 [rv2oe functions](#1.-rv2oe-functions) 
+  2.2 [oe2rv functions](#2-oe2rv-functions)
+  2.3 [Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
+  2.4 [time/position conversions](#4-timeposition-conversions)
+  2.5 [Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

 #Definitions and Uniformity
 The function names and their arguments agree with the following convention:

Manual page modified by Helton da Silva Gaspar

Helton da Silva Gaspar — Thu, 10 Jun 2021 00:09:07 -0000

--- v40
+++ v41
@@ -3,8 +3,10 @@
   1.1 [Convention about the semimajor axis and period](##Convention about the semimajor axis and period)
   2. [Functions packs](#functions-packs)
   2.1 [1. rv2oe functions](#1.-rv2oe-functions) 
-  2.2 [2. oe2rv functions](##2-oe2rv-functions)
-  2.3 [3. Polar and perifocal frame of reference](##3.-polar-and-perifocal frame of reference)
+  2.2 [2. oe2rv functions](#2-oe2rv-functions)
+  2.3 [3. Polar and perifocal frame of reference](#3-polar-and-perifocal frame of reference)
+  2.4 [4. time/position conversions](#4-time/position-conversions)
+  2.5 [5. Available constants and auxiliary math functions](#5-available-constants-and-auxiliary-math-functions)

 #Definitions and Uniformity
 The function names and their arguments agree with the following convention: