{"id":"vidhyamitra:city-day:rishikesh:1939-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1939-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1939-12-10","date_display":"December 10, 1939 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":1939,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429607.770833,"kali_year":5041,"ahargana":1841142.2708,"sun":{"sidereal_longitude":233.775,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.9067,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":351.1317,"elapsed_within_tithi_degrees":3.1317},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.9067,"elapsed_within_degrees":11.5734},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.6817},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1939,"month":12,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429607.770833,"ahargana":1841142.2708,"kali_year":5041,"ayanamsa_lahiri":23.014,"grahas":{"sun":{"sidereal_longitude":234.0605740000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":223.43027400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":2.7367},"mars":{"sidereal_longitude":321.030974,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":215.70797399999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":336.93067399999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":258.85777400000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":2.1105739999999855,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":187.4223,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.4223,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1939,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429607.770833,"kali_year":5041,"ahargana":1841142.2708,"sun":{"sidereal_longitude":233.775,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.9067,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":351.1317,"elapsed_within_tithi_degrees":3.1317},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.9067,"elapsed_within_degrees":11.5734},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.6817},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.737,"elongation":8.868},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.737,"opposition_distance":171.132}},"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":"07:03","sunsetLocal":"17:18","solarNoonLocal":"12:10","dayLengthHours":10.262971717599472,"dayLengthDisplay":"10 Hours 15 Mins 47 Secs","nightLengthDisplay":"13 Hours 44 Mins 13 Secs","moonriseLocal":"06:17","moonsetLocal":"16:38","rahuKala":{"name":"Rāhu Kāla","start":"16:01","end":"17:18","startHours":16.023607528462218,"endHours":17.306478993162152,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:10","end":"13:27","startHours":12.174993134362417,"endHours":13.45786459906235,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:44","end":"16:01","startHours":14.740736063762284,"endHours":16.023607528462218,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:47","startHours":9.43820067633589,"endHours":9.780299733589207,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.471131097129325,"endHours":7.744810342931977,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.8328940771091,"endHours":12.517092191615731,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:22","startHours":5.675111046549417,"endHours":6.359309161056049,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.188259632429391,"endHours":7.04350727556268,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.885488420628995,"endHours":14.569686535135627,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.106478993162153,"endHours":17.50647899316215,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.306478993162152,"endHours":17.734102814728796,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.056478993162152,"endHours":18.806478993162152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.832894077109103,"endHours":24.51709219161573,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:03","end":"08:20","startHours":7.04350727556268,"endHours":8.326378740262614,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:37","startHours":8.326378740262614,"endHours":9.609250204962548,"quality":"neutral"},{"name":"Labha","start":"09:37","end":"10:54","startHours":9.609250204962548,"endHours":10.892121669662483,"quality":"auspicious"},{"name":"Amṛta","start":"10:54","end":"12:10","startHours":10.892121669662483,"endHours":12.174993134362417,"quality":"auspicious"},{"name":"Kāla","start":"12:10","end":"13:27","startHours":12.174993134362417,"endHours":13.45786459906235,"quality":"inauspicious"},{"name":"Śubha","start":"13:27","end":"14:44","startHours":13.45786459906235,"endHours":14.740736063762284,"quality":"auspicious"},{"name":"Roga","start":"14:44","end":"16:01","startHours":14.740736063762284,"endHours":16.023607528462218,"quality":"inauspicious"},{"name":"Udveg","start":"16:01","end":"17:18","startHours":16.023607528462218,"endHours":17.306478993162152,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:18","end":"19:01","startHours":17.306478993162152,"endHours":19.023607528462218,"quality":"auspicious"},{"name":"Roga","start":"19:01","end":"20:44","startHours":19.023607528462218,"endHours":20.740736063762284,"quality":"inauspicious"},{"name":"Udveg","start":"20:44","end":"22:27","startHours":20.740736063762284,"endHours":22.45786459906235,"quality":"inauspicious"},{"name":"Chala","start":"22:27","end":"00:10","startHours":22.45786459906235,"endHours":24.174993134362417,"quality":"neutral"},{"name":"Labha","start":"00:10","end":"01:54","startHours":24.174993134362417,"endHours":25.89212166966248,"quality":"auspicious"},{"name":"Amṛta","start":"01:54","end":"03:37","startHours":25.89212166966248,"endHours":27.60925020496255,"quality":"auspicious"},{"name":"Kāla","start":"03:37","end":"05:20","startHours":27.60925020496255,"endHours":29.326378740262612,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:03","startHours":29.326378740262612,"endHours":31.043507275562682,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.04350727556268,"endHours":8.04350727556268,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.04350727556268,"endHours":9.04350727556268,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.04350727556268,"endHours":10.04350727556268,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.04350727556268,"endHours":11.04350727556268,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.04350727556268,"endHours":12.04350727556268,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.04350727556268,"endHours":13.04350727556268,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.04350727556268,"endHours":14.04350727556268,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.04350727556268,"endHours":15.04350727556268,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.04350727556268,"endHours":16.043507275562682,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.043507275562682,"endHours":17.043507275562682,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.043507275562682,"endHours":18.043507275562682,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.043507275562682,"endHours":19.043507275562682,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.043507275562682,"endHours":20.043507275562682,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.043507275562682,"endHours":21.043507275562682,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.043507275562682,"endHours":22.043507275562682,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.043507275562682,"endHours":23.043507275562682,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.043507275562682,"endHours":24.043507275562682,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.043507275562682,"endHours":25.043507275562682,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.043507275562682,"endHours":26.043507275562682,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.043507275562682,"endHours":27.043507275562682,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.043507275562682,"endHours":28.043507275562682,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.043507275562682,"endHours":29.043507275562682,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.043507275562682,"endHours":30.043507275562682,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.043507275562682,"endHours":31.043507275562682,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.808648149002202,"eotMinutes":6.4300119382551255,"ayanamsa":23.014}},"calendars":{"vikram_samvat":1996,"vikram_samvatsara":"Nandana","saka_samvat":1861,"saka_samvatsara":"Pramāthi","bengali_samvat":1346,"malayalam_era":1115,"nanakshahi_year":470,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Amāvasyā · Vikram 1996 Nandana · Śaka 1861 Pramāthi"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 10, 1939 CE · Ṛṣikeśa · Vidhyamitra","description":"December 10, 1939 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 07:03, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1939-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1939-12-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/1939-12-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/1939-12-10","x-default":"https://vidhyamitra.com/city/rishikesh/1939-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:34:34.259Z","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":"2026-05-31T16:34:34.259Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:34:34.259Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}