{"id":"vidhyamitra:city-day:rishikesh:1945-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1945-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-10-20","date_display":"October 20, 1945 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":1945,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431748.770833,"kali_year":5047,"ahargana":1843283.2708,"sun":{"sidereal_longitude":182.6022,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":346.0572,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.455,"elapsed_within_tithi_degrees":7.455},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.0572,"elapsed_within_degrees":12.7239},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.6595},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1945,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431748.770833,"ahargana":1843283.2708,"kali_year":5047,"ayanamsa_lahiri":23.0959,"grahas":{"sun":{"sidereal_longitude":183.19397200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":346.183972,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.497},"mars":{"sidereal_longitude":89.59957200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":195.504772,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":169.85337200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":158.782372,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":91.84147200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":73.9818,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":253.9818,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":1945,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431748.770833,"kali_year":5047,"ahargana":1843283.2708,"sun":{"sidereal_longitude":182.6022,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":346.0572,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.455,"elapsed_within_tithi_degrees":7.455},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.0572,"elapsed_within_degrees":12.7239},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.6595},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":163.455},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":16.545}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:21","sunsetLocal":"17:41","solarNoonLocal":"12:01","dayLengthHours":11.337474578203683,"dayLengthDisplay":"11 Hours 20 Mins 15 Secs","nightLengthDisplay":"12 Hours 39 Mins 45 Secs","moonriseLocal":"16:42","moonsetLocal":"05:04","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:36","startHours":9.186176834711894,"endHours":10.603361156987354,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:26","end":"14:51","startHours":13.437729801538275,"endHours":14.854914123813735,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:21","end":"07:46","startHours":6.351808190160973,"endHours":7.768992512436434,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.997218925075167,"endHours":9.375134744348621,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:08","startHours":6.824202964252794,"endHours":7.126535619671559,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.642629659989359,"endHours":12.39846129853627,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.8401449130671494,"endHours":5.595976551614061,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.407018641977333,"endHours":6.351808190160973,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.910124575630094,"endHours":14.665956214177006,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.489282768364657,"endHours":17.889282768364655,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:10","startHours":17.689282768364656,"endHours":18.161677542456477,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.439282768364656,"endHours":19.189282768364656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.642629659989357,"endHours":24.398461298536272,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:21","end":"07:46","startHours":6.351808190160973,"endHours":7.768992512436434,"quality":"inauspicious"},{"name":"Śubha","start":"07:46","end":"09:11","startHours":7.768992512436434,"endHours":9.186176834711894,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:36","startHours":9.186176834711894,"endHours":10.603361156987354,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:01","startHours":10.603361156987354,"endHours":12.020545479262815,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:26","startHours":12.020545479262815,"endHours":13.437729801538275,"quality":"neutral"},{"name":"Labha","start":"13:26","end":"14:51","startHours":13.437729801538275,"endHours":14.854914123813735,"quality":"auspicious"},{"name":"Amṛta","start":"14:51","end":"16:16","startHours":14.854914123813735,"endHours":16.272098446089196,"quality":"auspicious"},{"name":"Kāla","start":"16:16","end":"17:41","startHours":16.272098446089196,"endHours":17.689282768364656,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:41","end":"19:16","startHours":17.689282768364656,"endHours":19.272098446089196,"quality":"auspicious"},{"name":"Amṛta","start":"19:16","end":"20:51","startHours":19.272098446089196,"endHours":20.854914123813735,"quality":"auspicious"},{"name":"Kāla","start":"20:51","end":"22:26","startHours":20.854914123813735,"endHours":22.437729801538275,"quality":"inauspicious"},{"name":"Śubha","start":"22:26","end":"00:01","startHours":22.437729801538275,"endHours":24.020545479262815,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:36","startHours":24.020545479262815,"endHours":25.603361156987354,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:11","startHours":25.603361156987354,"endHours":27.186176834711894,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:46","startHours":27.186176834711894,"endHours":28.768992512436434,"quality":"neutral"},{"name":"Labha","start":"04:46","end":"06:21","startHours":28.768992512436434,"endHours":30.351808190160973,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.351808190160973,"endHours":7.351808190160973,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.351808190160973,"endHours":8.351808190160973,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.351808190160973,"endHours":9.351808190160973,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.351808190160973,"endHours":10.351808190160973,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.351808190160973,"endHours":11.351808190160973,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.351808190160973,"endHours":12.351808190160973,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.351808190160973,"endHours":13.351808190160973,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.351808190160973,"endHours":14.351808190160973,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.351808190160973,"endHours":15.351808190160973,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.351808190160973,"endHours":16.351808190160973,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.351808190160973,"endHours":17.351808190160973,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.351808190160973,"endHours":18.351808190160973,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.351808190160973,"endHours":19.351808190160973,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.351808190160973,"endHours":20.351808190160973,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.351808190160973,"endHours":21.351808190160973,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.351808190160973,"endHours":22.351808190160973,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.351808190160973,"endHours":23.351808190160973,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.351808190160973,"endHours":24.351808190160973,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.351808190160973,"endHours":25.351808190160973,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.351808190160973,"endHours":26.351808190160973,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.351808190160973,"endHours":27.351808190160973,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.351808190160973,"endHours":28.351808190160973,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.351808190160973,"endHours":29.351808190160973,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.351808190160973,"endHours":30.351808190160973,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.146214478281818,"eotMinutes":15.696871244231174,"ayanamsa":23.0959}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturdaśī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 20, 1945 CE · Ṛṣikeśa · Vidhyamitra","description":"October 20, 1945 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 06:21, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1945-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1945-10-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1945-10-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1945-10-20","x-default":"https://vidhyamitra.com/city/rishikesh/1945-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:03:56.668Z","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":"2026-05-31T19:03:56.668Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:03:56.668Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}