{"id":"vidhyamitra:city-day:rishikesh:1948-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1948-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1948-12-03","date_display":"December 3, 1948 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":1948,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2432888.770833,"kali_year":5050,"ahargana":1844423.2708,"sun":{"sidereal_longitude":227.2976,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":256.9722,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6746,"elapsed_within_tithi_degrees":5.6746},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":256.9722,"elapsed_within_degrees":3.6388},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":124.2698},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":1948,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2432888.770833,"ahargana":1844423.2708,"kali_year":5050,"ayanamsa_lahiri":23.1395,"grahas":{"sun":{"sidereal_longitude":227.65621499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":255.407915,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-4.0226},"mars":{"sidereal_longitude":252.27121499999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":222.87541499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":251.96661500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":196.19661500000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":133.17701499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":13.5791,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":193.5791,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"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":1948,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2432888.770833,"kali_year":5050,"ahargana":1844423.2708,"sun":{"sidereal_longitude":227.2976,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":256.9722,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6746,"elapsed_within_tithi_degrees":5.6746},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":256.9722,"elapsed_within_degrees":3.6388},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":124.2698},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.023,"elongation":29.675},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.023,"opposition_distance":150.325}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":1.485,"opposition_distance":2.716}]},"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":"06:58","sunsetLocal":"17:18","solarNoonLocal":"12:08","dayLengthHours":10.331489448360792,"dayLengthDisplay":"10 Hours 19 Mins 53 Secs","nightLengthDisplay":"13 Hours 40 Mins 07 Secs","moonriseLocal":"08:53","moonsetLocal":"19:04","rahuKala":{"name":"Rāhu Kāla","start":"10:50","end":"12:08","startHours":10.834743370110601,"endHours":12.126179551155701,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.709051913245899,"endHours":16.000488094290997,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:15","end":"09:33","startHours":8.251871008020405,"endHours":9.543307189065503,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.37111569825949,"endHours":9.715498679871516,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.390913553990338,"endHours":7.66641993927996,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:28","startHours":11.781796569543674,"endHours":12.470562532767728,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:16","startHours":5.5829029005272,"endHours":6.271668863751253,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:58","startHours":6.099477372945239,"endHours":6.960434826975305,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.848094459215833,"endHours":14.536860422439887,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.091924275336098,"endHours":17.491924275336096,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.291924275336097,"endHours":17.72240300235113,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.041924275336097,"endHours":18.791924275336097,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:28","startHours":23.781796569543676,"endHours":24.470562532767726,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:58","end":"08:15","startHours":6.960434826975305,"endHours":8.251871008020405,"quality":"neutral"},{"name":"Labha","start":"08:15","end":"09:33","startHours":8.251871008020405,"endHours":9.543307189065503,"quality":"auspicious"},{"name":"Amṛta","start":"09:33","end":"10:50","startHours":9.543307189065503,"endHours":10.834743370110601,"quality":"auspicious"},{"name":"Kāla","start":"10:50","end":"12:08","startHours":10.834743370110601,"endHours":12.126179551155701,"quality":"inauspicious"},{"name":"Śubha","start":"12:08","end":"13:25","startHours":12.126179551155701,"endHours":13.417615732200801,"quality":"auspicious"},{"name":"Roga","start":"13:25","end":"14:43","startHours":13.417615732200801,"endHours":14.709051913245899,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.709051913245899,"endHours":16.000488094290997,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:18","startHours":16.000488094290997,"endHours":17.291924275336097,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:00","startHours":17.291924275336097,"endHours":19.000488094290997,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.000488094290997,"endHours":20.7090519132459,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:25","startHours":20.7090519132459,"endHours":22.4176157322008,"quality":"neutral"},{"name":"Labha","start":"22:25","end":"00:08","startHours":22.4176157322008,"endHours":24.1261795511557,"quality":"auspicious"},{"name":"Amṛta","start":"00:08","end":"01:50","startHours":24.1261795511557,"endHours":25.8347433701106,"quality":"auspicious"},{"name":"Kāla","start":"01:50","end":"03:33","startHours":25.8347433701106,"endHours":27.5433071890655,"quality":"inauspicious"},{"name":"Śubha","start":"03:33","end":"05:15","startHours":27.5433071890655,"endHours":29.251871008020405,"quality":"auspicious"},{"name":"Roga","start":"05:15","end":"06:58","startHours":29.251871008020405,"endHours":30.960434826975305,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.960434826975305,"endHours":7.960434826975305,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.960434826975305,"endHours":8.960434826975305,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.960434826975305,"endHours":9.960434826975305,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.960434826975305,"endHours":10.960434826975305,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.960434826975305,"endHours":11.960434826975305,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.960434826975305,"endHours":12.960434826975305,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.960434826975305,"endHours":13.960434826975305,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.960434826975305,"endHours":14.960434826975305,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.960434826975305,"endHours":15.960434826975305,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.960434826975305,"endHours":16.960434826975305,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.960434826975305,"endHours":17.960434826975305,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.960434826975305,"endHours":18.960434826975305,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.960434826975305,"endHours":19.960434826975305,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.960434826975305,"endHours":20.960434826975305,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.960434826975305,"endHours":21.960434826975305,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.960434826975305,"endHours":22.960434826975305,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.960434826975305,"endHours":23.960434826975305,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.960434826975305,"endHours":24.960434826975305,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.960434826975305,"endHours":25.960434826975305,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.960434826975305,"endHours":26.960434826975305,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.960434826975305,"endHours":27.960434826975305,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.960434826975305,"endHours":28.960434826975305,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.960434826975305,"endHours":29.960434826975305,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.960434826975305,"endHours":30.960434826975305,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.061361455656456,"eotMinutes":9.35882693065794,"ayanamsa":23.1395}},"calendars":{"vikram_samvat":2005,"vikram_samvatsara":"Plava","saka_samvat":1870,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1355,"malayalam_era":1124,"nanakshahi_year":479,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2005 Plava · Śaka 1870 Sarvadhāri"},"festivals":[],"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":"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 3, 1948 CE · Ṛṣikeśa · Vidhyamitra","description":"December 3, 1948 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1948-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1948-12-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/1948-12-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/1948-12-03","x-default":"https://vidhyamitra.com/city/rishikesh/1948-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:32:18.938Z","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":"2026-05-31T16:32:18.938Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:32:18.938Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}