{"id":"vidhyamitra:city-day:rishikesh:1934-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1934-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1934-12-20","date_display":"December 20, 1934 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":1934,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427791.770833,"kali_year":5036,"ahargana":1839326.2708,"sun":{"sidereal_longitude":244.3356,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":55.8555,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.5199,"elapsed_within_tithi_degrees":3.5199},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.8555,"elapsed_within_degrees":2.5221},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.1911},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1934,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2427791.770833,"ahargana":1839326.2708,"kali_year":5036,"ayanamsa_lahiri":22.9445,"grahas":{"sun":{"sidereal_longitude":244.520758,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":55.053957999999966,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":3.3314},"mars":{"sidereal_longitude":162.13235800000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":239.18145800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":202.53685799999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":252.965058,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":301.46575800000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":283.6427,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":103.6427,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1934,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2427791.770833,"kali_year":5036,"ahargana":1839326.2708,"sun":{"sidereal_longitude":244.3356,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":55.8555,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.5199,"elapsed_within_tithi_degrees":3.5199},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.8555,"elapsed_within_degrees":2.5221},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.1911},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.331,"elongation":171.52},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.331,"opposition_distance":8.48}},"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":"07:09","sunsetLocal":"17:21","solarNoonLocal":"12:15","dayLengthHours":10.206995343946993,"dayLengthDisplay":"10 Hours 12 Mins 25 Secs","nightLengthDisplay":"13 Hours 47 Mins 35 Secs","moonriseLocal":"16:38","moonsetLocal":"06:37","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:48","startHours":13.527169125952229,"endHours":14.803043543945602,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:25","startHours":7.147797035985358,"endHours":8.423671453978733,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"10:59","startHours":9.699545871972106,"endHours":10.97542028996548,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.529429282906325,"endHours":9.86966246103789,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.573088508649817,"endHours":7.8452750511550695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:35","startHours":11.91106152982729,"endHours":12.591527886090422,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.786864323459093,"endHours":6.467330679722226,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.297214090656443,"endHours":7.147797035985358,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.952460598616687,"endHours":14.63292695487982,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.154792379932353,"endHours":17.55479237993235,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.354792379932352,"endHours":17.78008385259681,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.104792379932352,"endHours":18.854792379932352,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:35","startHours":23.91106152982729,"endHours":24.59152788609042,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:25","startHours":7.147797035985358,"endHours":8.423671453978733,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:42","startHours":8.423671453978733,"endHours":9.699545871972106,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"10:59","startHours":9.699545871972106,"endHours":10.97542028996548,"quality":"inauspicious"},{"name":"Chala","start":"10:59","end":"12:15","startHours":10.97542028996548,"endHours":12.251294707958856,"quality":"neutral"},{"name":"Labha","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527169125952229,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:48","startHours":13.527169125952229,"endHours":14.803043543945602,"quality":"auspicious"},{"name":"Kāla","start":"14:48","end":"16:05","startHours":14.803043543945602,"endHours":16.078917961938977,"quality":"inauspicious"},{"name":"Śubha","start":"16:05","end":"17:21","startHours":16.078917961938977,"endHours":17.354792379932352,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"19:05","startHours":17.354792379932352,"endHours":19.078917961938977,"quality":"auspicious"},{"name":"Kāla","start":"19:05","end":"20:48","startHours":19.078917961938977,"endHours":20.803043543945606,"quality":"inauspicious"},{"name":"Śubha","start":"20:48","end":"22:32","startHours":20.803043543945606,"endHours":22.52716912595223,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:15","startHours":22.52716912595223,"endHours":24.251294707958856,"quality":"inauspicious"},{"name":"Udveg","start":"00:15","end":"01:59","startHours":24.251294707958856,"endHours":25.97542028996548,"quality":"inauspicious"},{"name":"Chala","start":"01:59","end":"03:42","startHours":25.97542028996548,"endHours":27.699545871972106,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:25","startHours":27.699545871972106,"endHours":29.423671453978734,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:09","startHours":29.423671453978734,"endHours":31.14779703598536,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.147797035985358,"endHours":8.14779703598536,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.14779703598536,"endHours":9.14779703598536,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.14779703598536,"endHours":10.14779703598536,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.14779703598536,"endHours":11.14779703598536,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.14779703598536,"endHours":12.14779703598536,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.14779703598536,"endHours":13.14779703598536,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.14779703598536,"endHours":14.14779703598536,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.14779703598536,"endHours":15.14779703598536,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.14779703598536,"endHours":16.14779703598536,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14779703598536,"endHours":17.14779703598536,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14779703598536,"endHours":18.14779703598536,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14779703598536,"endHours":19.14779703598536,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14779703598536,"endHours":20.14779703598536,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14779703598536,"endHours":21.14779703598536,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14779703598536,"endHours":22.14779703598536,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14779703598536,"endHours":23.14779703598536,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14779703598536,"endHours":24.14779703598536,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14779703598536,"endHours":25.14779703598536,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14779703598536,"endHours":26.14779703598536,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14779703598536,"endHours":27.14779703598536,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14779703598536,"endHours":28.14779703598536,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14779703598536,"endHours":29.14779703598536,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14779703598536,"endHours":30.14779703598536,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14779703598536,"endHours":31.14779703598536,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":-23.412200997876614,"eotMinutes":1.851917522468745,"ayanamsa":22.9445}},"calendars":{"vikram_samvat":1991,"vikram_samvatsara":"Sarvajit","saka_samvat":1856,"saka_samvatsara":"Bhāva","bengali_samvat":1341,"malayalam_era":1110,"nanakshahi_year":465,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram 1991 Sarvajit · Śaka 1856 Bhāva"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"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 20, 1934 CE · Ṛṣikeśa · Vidhyamitra","description":"December 20, 1934 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 07:09, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1934-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1934-12-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1934-12-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1934-12-20","x-default":"https://vidhyamitra.com/city/rishikesh/1934-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:07:45.283Z","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":"2026-05-31T12:07:45.283Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:07:45.283Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}