{"id":"vidhyamitra:city-day:mathura:1963-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1963-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1963-10-18","date_display":"October 18, 1963 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1963,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438320.770833,"kali_year":5065,"ahargana":1849855.2708,"sun":{"sidereal_longitude":179.9559,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":187.2815,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.3256,"elapsed_within_tithi_degrees":7.3256},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.2815,"elapsed_within_degrees":0.6148},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2374},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1963,"month":10,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438320.770833,"ahargana":1849855.2708,"kali_year":5065,"ayanamsa_lahiri":23.3472,"grahas":{"sun":{"sidereal_longitude":180.59707300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":186.24957300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":4.4092},"mars":{"sidereal_longitude":211.69287299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":168.847573,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":350.480773,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":194.10067300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":293.813573,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":85.7656,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.7656,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1963,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438320.770833,"kali_year":5065,"ahargana":1849855.2708,"sun":{"sidereal_longitude":179.9559,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":187.2815,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.3256,"elapsed_within_tithi_degrees":7.3256},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.2815,"elapsed_within_degrees":0.6148},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.2374},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.409,"elongation":7.326},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.409,"opposition_distance":172.674}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:20","sunsetLocal":"17:48","solarNoonLocal":"12:04","dayLengthHours":11.476198300990536,"dayLengthDisplay":"11 Hours 28 Mins 34 Secs","nightLengthDisplay":"12 Hours 31 Mins 26 Secs","moonriseLocal":"06:48","moonsetLocal":"18:05","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:04","startHours":10.630634242322543,"endHours":12.065159029946361,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:56","end":"16:22","startHours":14.934208605193994,"endHours":16.368733392817813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:46","end":"09:12","startHours":7.76158466707491,"endHours":9.196109454698727,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.004839483015552,"endHours":9.387379426381901,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.805234808659032,"endHours":7.111266763352113,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.682619086580008,"endHours":12.447698973312711,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.796900105985688,"endHours":5.56197999271839,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:20","startHours":5.370710021035214,"endHours":6.327059879451093,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.977858746778116,"endHours":14.742938633510818,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.603258180441628,"endHours":18.003258180441627,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:17","startHours":17.803258180441627,"endHours":18.281433109649566,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.553258180441627,"endHours":19.303258180441627,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.682619086580008,"endHours":24.447698973312708,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:20","end":"07:46","startHours":6.327059879451093,"endHours":7.76158466707491,"quality":"neutral"},{"name":"Labha","start":"07:46","end":"09:12","startHours":7.76158466707491,"endHours":9.196109454698727,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:38","startHours":9.196109454698727,"endHours":10.630634242322543,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:04","startHours":10.630634242322543,"endHours":12.065159029946361,"quality":"inauspicious"},{"name":"Śubha","start":"12:04","end":"13:30","startHours":12.065159029946361,"endHours":13.499683817570176,"quality":"auspicious"},{"name":"Roga","start":"13:30","end":"14:56","startHours":13.499683817570176,"endHours":14.934208605193994,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"16:22","startHours":14.934208605193994,"endHours":16.368733392817813,"quality":"inauspicious"},{"name":"Chala","start":"16:22","end":"17:48","startHours":16.368733392817813,"endHours":17.803258180441627,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:48","end":"19:22","startHours":17.803258180441627,"endHours":19.36873339281781,"quality":"inauspicious"},{"name":"Udveg","start":"19:22","end":"20:56","startHours":19.36873339281781,"endHours":20.934208605193994,"quality":"inauspicious"},{"name":"Chala","start":"20:56","end":"22:30","startHours":20.934208605193994,"endHours":22.499683817570176,"quality":"neutral"},{"name":"Labha","start":"22:30","end":"00:04","startHours":22.499683817570176,"endHours":24.065159029946358,"quality":"auspicious"},{"name":"Amṛta","start":"00:04","end":"01:38","startHours":24.065159029946358,"endHours":25.630634242322543,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:12","startHours":25.630634242322543,"endHours":27.196109454698725,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:46","startHours":27.196109454698725,"endHours":28.761584667074906,"quality":"auspicious"},{"name":"Roga","start":"04:46","end":"06:20","startHours":28.761584667074906,"endHours":30.32705987945109,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.327059879451093,"endHours":7.327059879451093,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.327059879451093,"endHours":8.327059879451092,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.327059879451092,"endHours":9.327059879451092,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.327059879451092,"endHours":10.327059879451092,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.327059879451092,"endHours":11.327059879451092,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.327059879451092,"endHours":12.327059879451092,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.327059879451092,"endHours":13.327059879451092,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.327059879451092,"endHours":14.327059879451092,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.327059879451092,"endHours":15.327059879451092,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.327059879451092,"endHours":16.32705987945109,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.32705987945109,"endHours":17.32705987945109,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.32705987945109,"endHours":18.32705987945109,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.32705987945109,"endHours":19.32705987945109,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.32705987945109,"endHours":20.32705987945109,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.32705987945109,"endHours":21.32705987945109,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.32705987945109,"endHours":22.32705987945109,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.32705987945109,"endHours":23.32705987945109,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.32705987945109,"endHours":24.32705987945109,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.32705987945109,"endHours":25.32705987945109,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.32705987945109,"endHours":26.32705987945109,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.32705987945109,"endHours":27.32705987945109,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.32705987945109,"endHours":28.32705987945109,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.32705987945109,"endHours":29.32705987945109,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.32705987945109,"endHours":30.32705987945109,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-9.289263352215865,"eotMinutes":15.395658203218455,"ayanamsa":23.3472}},"calendars":{"vikram_samvat":2020,"vikram_samvatsara":"Nala","saka_samvat":1885,"saka_samvatsara":"Śobhana","bengali_samvat":1370,"malayalam_era":1139,"nanakshahi_year":494,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pratipada · Vikram 2020 Nala · Śaka 1885 Śobhana"},"festivals":[{"id":"govardhana-puja","name":"Govardhana Pūjā (Annakūṭa)","name_sanskrit":"गोवर्धन पूजा","tradition":"Vaishnava","associated_deity":"Krishna (Govardhana-dhārī)","significance":"Krishna lifted Govardhana to protect Vraja from Indra's wrath. Day 4 of Diwali.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.24-27"]},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 18, 1963 CE · Mathurā · Vidhyamitra","description":"October 18, 1963 CE for Mathurā: Śukla Pratipada, sūryodaya 06:20, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1963-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1963-10-18","sa":"https://sa.vidhyamitra.com/city/mathura/1963-10-18","hi":"https://hi.vidhyamitra.com/city/mathura/1963-10-18","x-default":"https://vidhyamitra.com/city/mathura/1963-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:44:04.750Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T15:44:04.750Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:44:04.750Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}