{"id":"vidhyamitra:city-day:rishikesh:1913-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1913-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1913-12-13","date_display":"December 13, 1913 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":1913,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420114.770833,"kali_year":5015,"ahargana":1831649.2708,"sun":{"sidereal_longitude":237.5962,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":49.6271,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":172.0309,"elapsed_within_tithi_degrees":4.0309},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.6271,"elapsed_within_degrees":9.6271},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.2234},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":1913,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2420114.770833,"ahargana":1831649.2708,"kali_year":5015,"ayanamsa_lahiri":22.6509,"grahas":{"sun":{"sidereal_longitude":237.78907600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":50.780876000000035,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.4204},"mars":{"sidereal_longitude":91.32747599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":218.053176,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":269.400676,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":224.444476,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":52.43097599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":330.4071,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":150.4071,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1913,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420114.770833,"kali_year":5015,"ahargana":1831649.2708,"sun":{"sidereal_longitude":237.5962,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":49.6271,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":172.0309,"elapsed_within_tithi_degrees":4.0309},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.6271,"elapsed_within_degrees":9.6271},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.2234},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.42,"elongation":172.031},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.42,"opposition_distance":7.969}},"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":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.236764226526937,"dayLengthDisplay":"10 Hours 14 Mins 12 Secs","nightLengthDisplay":"13 Hours 45 Mins 48 Secs","moonriseLocal":"16:46","moonsetLocal":"06:42","rahuKala":{"name":"Rāhu Kāla","start":"09:38","end":"10:55","startHours":9.63812477254463,"endHours":10.917720300860498,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:29","end":"14:45","startHours":13.47691135749223,"endHours":14.756506885808099,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:05","end":"08:22","startHours":7.078933715912896,"endHours":8.358529244228762,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.467512035435849,"endHours":9.808737509653412,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.505465558684852,"endHours":7.778445938058904,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.8560903549588,"endHours":12.538541303393929,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.7140318190426385,"endHours":6.396482767477767,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.225870030368985,"endHours":7.078933715912896,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.903443200264187,"endHours":14.585894148699316,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.115697942439834,"endHours":17.515697942439832,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.315697942439833,"endHours":17.742229785211787,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.065697942439833,"endHours":18.815697942439833,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.8560903549588,"endHours":24.53854130339393,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:05","end":"08:22","startHours":7.078933715912896,"endHours":8.358529244228762,"quality":"inauspicious"},{"name":"Śubha","start":"08:22","end":"09:38","startHours":8.358529244228762,"endHours":9.63812477254463,"quality":"auspicious"},{"name":"Roga","start":"09:38","end":"10:55","startHours":9.63812477254463,"endHours":10.917720300860498,"quality":"inauspicious"},{"name":"Udveg","start":"10:55","end":"12:12","startHours":10.917720300860498,"endHours":12.197315829176365,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.47691135749223,"quality":"neutral"},{"name":"Labha","start":"13:29","end":"14:45","startHours":13.47691135749223,"endHours":14.756506885808099,"quality":"auspicious"},{"name":"Amṛta","start":"14:45","end":"16:02","startHours":14.756506885808099,"endHours":16.036102414123967,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:19","startHours":16.036102414123967,"endHours":17.315697942439833,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:19","end":"19:02","startHours":17.315697942439833,"endHours":19.036102414123967,"quality":"auspicious"},{"name":"Amṛta","start":"19:02","end":"20:45","startHours":19.036102414123967,"endHours":20.7565068858081,"quality":"auspicious"},{"name":"Kāla","start":"20:45","end":"22:29","startHours":20.7565068858081,"endHours":22.47691135749223,"quality":"inauspicious"},{"name":"Śubha","start":"22:29","end":"00:12","startHours":22.47691135749223,"endHours":24.197315829176365,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.9177203008605,"quality":"inauspicious"},{"name":"Udveg","start":"01:55","end":"03:38","startHours":25.9177203008605,"endHours":27.63812477254463,"quality":"inauspicious"},{"name":"Chala","start":"03:38","end":"05:22","startHours":27.63812477254463,"endHours":29.358529244228762,"quality":"neutral"},{"name":"Labha","start":"05:22","end":"07:05","startHours":29.358529244228762,"endHours":31.078933715912896,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.078933715912896,"endHours":8.078933715912896,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.078933715912896,"endHours":9.078933715912896,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.078933715912896,"endHours":10.078933715912896,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.078933715912896,"endHours":11.078933715912896,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.078933715912896,"endHours":12.078933715912896,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.078933715912896,"endHours":13.078933715912896,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.078933715912896,"endHours":14.078933715912896,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.078933715912896,"endHours":15.078933715912896,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.078933715912896,"endHours":16.078933715912896,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.078933715912896,"endHours":17.078933715912896,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.078933715912896,"endHours":18.078933715912896,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.078933715912896,"endHours":19.078933715912896,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.078933715912896,"endHours":20.078933715912896,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.078933715912896,"endHours":21.078933715912896,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.078933715912896,"endHours":22.078933715912896,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.078933715912896,"endHours":23.078933715912896,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.078933715912896,"endHours":24.078933715912896,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.078933715912896,"endHours":25.078933715912896,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.078933715912896,"endHours":26.078933715912896,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.078933715912896,"endHours":27.078933715912896,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.078933715912896,"endHours":28.078933715912896,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.078933715912896,"endHours":29.078933715912896,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.078933715912896,"endHours":30.078933715912896,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.078933715912896,"endHours":31.078933715912896,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","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":-23.0920082486707,"eotMinutes":5.090650249418121,"ayanamsa":22.6509}},"calendars":{"vikram_samvat":1970,"vikram_samvatsara":"Akṣaya","saka_samvat":1835,"saka_samvatsara":"Pramādī","bengali_samvat":1320,"malayalam_era":1089,"nanakshahi_year":444,"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 Pūrṇimā · Vikram 1970 Akṣaya · Śaka 1835 Pramādī"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","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 13, 1913 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 1913 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1913-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1913-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1913-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1913-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/1913-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:01:01.852Z","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":"2026-05-31T11:01:01.852Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:01:01.852Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}