Analytical Method of Modelling the Geometric System of Communication Route

Table 1

Comparison of values 𝑥_𝐾, 𝑦_𝐾, and 𝑠_𝐾 for numerical examples analyzed.

Curve	𝑙𝑘 [m]	Θ(𝑙𝑘) [rad]	𝑠𝐾	𝑥𝐾 [m]	𝑦𝐾 [m]
Case  1: 𝑘1=1/1200 rad/m and 𝑘2=1/700 rad/m
Curve C^0	40	0,045238	0,045269	39,988	0,825
Curve C^1 (p)	60	0,067857	0,067961	59,963	1,821
Curve C^1 (t)	62,832	0,071060	0,071180	62,796	1,940
Case  2: 𝑘1=1/1200 rad/m and 𝑘2=−1/700 rad/m
Curve C^0	60	−0,017857	−0,017859	59,999	0,143
Curve C^1 (p)	90	−0,026786	−0,026792	89,991	0,627
Curve C^1 (t)	94,248	−0,028050	−0,028057	94,238	0,714
Case  3: 𝑘1=−1/1200 rad/m and 𝑘2=1/700 rad/m
Curve C^0	60	0,01786	0,017859	59,999	−0,143
Curve C^1(p)	90	0,026786	0,026792	89,991	−0,627
Curve C^1 (t)	94,248	0,028050	0,028057	94,238	−0,714
Case  4: 𝑘1=−1/1200 rad/m and 𝑘2=−1/700 rad/m
Curve C^0	40	−0,045238	−0,045269	39,988	−0,825
Curve C^1 (p)	60	−0,067857	−0,067961	59,969	−1,821
Curve C^1 (t)	62,832	−0,071060	−0,071180	62,976	−1,940