{"id":"vidhyamitra:city-day:rishikesh:1957-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1957-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1957-12-18","date_display":"December 18, 1957 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":1957,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436190.770833,"kali_year":5059,"ahargana":1847725.2708,"sun":{"sidereal_longitude":242.3317,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":202.9656,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.6338,"elapsed_within_tithi_degrees":8.6338},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.9656,"elapsed_within_degrees":2.9656},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.2973},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1957,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2436190.770833,"ahargana":1847725.2708,"kali_year":5059,"ayanamsa_lahiri":23.2658,"grahas":{"sun":{"sidereal_longitude":242.58815499999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":202.14135499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":0.3404},"mars":{"sidereal_longitude":213.86795499999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.739155,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":183.61625500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":285.9187549999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":234.97485499999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":198.6233,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.6233,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"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":1957,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436190.770833,"kali_year":5059,"ahargana":1847725.2708,"sun":{"sidereal_longitude":242.3317,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":202.9656,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.6338,"elapsed_within_tithi_degrees":8.6338},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.9656,"elapsed_within_degrees":2.9656},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.2973},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.34,"elongation":39.366},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.34,"opposition_distance":140.634}},"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":"07:08","sunsetLocal":"17:20","solarNoonLocal":"12:14","dayLengthHours":10.210787089861906,"dayLengthDisplay":"10 Hours 12 Mins 39 Secs","nightLengthDisplay":"13 Hours 47 Mins 21 Secs","moonriseLocal":"04:09","moonsetLocal":"14:56","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:31","startHours":12.235697877530981,"endHours":13.512046263763718,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:24","end":"09:41","startHours":8.406652718832765,"endHours":9.683001105065504,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:58","end":"12:14","startHours":10.959349491298243,"endHours":12.235697877530981,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.512821320234472,"endHours":9.853180889896535,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.5557537946776065,"endHours":7.828041450407257,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.895338307868917,"endHours":12.576057447193042,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.768866053951773,"endHours":6.4495851932759,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.279405408444869,"endHours":7.130304332600027,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.937495725841298,"endHours":14.618214865165426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.141091422461933,"endHours":17.541091422461932,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.341091422461933,"endHours":17.766540884539513,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.091091422461933,"endHours":18.841091422461933,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.89533830786892,"endHours":24.576057447193044,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:08","end":"08:24","startHours":7.130304332600027,"endHours":8.406652718832765,"quality":"auspicious"},{"name":"Amṛta","start":"08:24","end":"09:41","startHours":8.406652718832765,"endHours":9.683001105065504,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"10:58","startHours":9.683001105065504,"endHours":10.959349491298243,"quality":"inauspicious"},{"name":"Śubha","start":"10:58","end":"12:14","startHours":10.959349491298243,"endHours":12.235697877530981,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:31","startHours":12.235697877530981,"endHours":13.512046263763718,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"14:47","startHours":13.512046263763718,"endHours":14.788394649996457,"quality":"inauspicious"},{"name":"Chala","start":"14:47","end":"16:04","startHours":14.788394649996457,"endHours":16.064743036229196,"quality":"neutral"},{"name":"Labha","start":"16:04","end":"17:20","startHours":16.064743036229196,"endHours":17.341091422461933,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:20","end":"19:04","startHours":17.341091422461933,"endHours":19.064743036229196,"quality":"inauspicious"},{"name":"Chala","start":"19:04","end":"20:47","startHours":19.064743036229196,"endHours":20.788394649996455,"quality":"neutral"},{"name":"Labha","start":"20:47","end":"22:31","startHours":20.788394649996455,"endHours":22.512046263763718,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"00:14","startHours":22.512046263763718,"endHours":24.23569787753098,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:58","startHours":24.23569787753098,"endHours":25.95934949129824,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"03:41","startHours":25.95934949129824,"endHours":27.683001105065504,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:24","startHours":27.683001105065504,"endHours":29.406652718832767,"quality":"inauspicious"},{"name":"Udveg","start":"05:24","end":"07:08","startHours":29.406652718832767,"endHours":31.130304332600026,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.130304332600027,"endHours":8.130304332600026,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.130304332600026,"endHours":9.130304332600026,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.130304332600026,"endHours":10.130304332600026,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.130304332600026,"endHours":11.130304332600026,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.130304332600026,"endHours":12.130304332600026,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.130304332600026,"endHours":13.130304332600026,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.130304332600026,"endHours":14.130304332600026,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.130304332600026,"endHours":15.130304332600026,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.130304332600026,"endHours":16.130304332600026,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.130304332600026,"endHours":17.130304332600026,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.130304332600026,"endHours":18.130304332600026,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.130304332600026,"endHours":19.130304332600026,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.130304332600026,"endHours":20.130304332600026,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.130304332600026,"endHours":21.130304332600026,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.130304332600026,"endHours":22.130304332600026,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.130304332600026,"endHours":23.130304332600026,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.130304332600026,"endHours":24.130304332600026,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.130304332600026,"endHours":25.130304332600026,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.130304332600026,"endHours":26.130304332600026,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.130304332600026,"endHours":27.130304332600026,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.130304332600026,"endHours":28.130304332600026,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.130304332600026,"endHours":29.130304332600026,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.130304332600026,"endHours":30.130304332600026,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.130304332600026,"endHours":31.130304332600026,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.371516438928715,"eotMinutes":2.787727348141232,"ayanamsa":23.2658}},"calendars":{"vikram_samvat":2014,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1879,"saka_samvatsara":"Hemalambī","bengali_samvat":1364,"malayalam_era":1133,"nanakshahi_year":488,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 2014 Sādhāraṇa · Śaka 1879 Hemalambī"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 December 18, 1957 CE · Ṛṣikeśa · Vidhyamitra","description":"December 18, 1957 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 07:08, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1957-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1957-12-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/1957-12-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/1957-12-18","x-default":"https://vidhyamitra.com/city/rishikesh/1957-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:27:10.847Z","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":"2026-06-01T03:27:10.847Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:27:10.847Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}