{"id":"vidhyamitra:city-day:rishikesh:2085-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2085-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-12-20","date_display":"December 20, 2085 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":2085,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482944.770833,"kali_year":5187,"ahargana":1894479.2708,"sun":{"sidereal_longitude":243.2345,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":282.1541,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9197,"elapsed_within_tithi_degrees":2.9197},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.1541,"elapsed_within_degrees":2.1541},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.3886},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2085,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482944.770833,"ahargana":1894479.2708,"kali_year":5187,"ayanamsa_lahiri":25.0539,"grahas":{"sun":{"sidereal_longitude":243.78550799999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":284.59610799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":2.9376},"mars":{"sidereal_longitude":225.17620799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":233.39110800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":111.67560800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":242.65580799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":344.631908,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":241.3714,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":61.3714,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2085,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482944.770833,"kali_year":5187,"ahargana":1894479.2708,"sun":{"sidereal_longitude":243.2345,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":282.1541,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.9197,"elapsed_within_tithi_degrees":2.9197},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.1541,"elapsed_within_degrees":2.1541},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.3886},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.938,"elongation":38.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.938,"opposition_distance":141.08}},"eclipse_window_40days":[{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":-0.112,"elongation":0.058},{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":-1.246,"opposition_distance":2.344}]},"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":10.205204641395339,"dayLengthDisplay":"10 Hours 12 Mins 19 Secs","nightLengthDisplay":"13 Hours 47 Mins 41 Secs","moonriseLocal":"09:38","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:48","startHours":13.526945288133273,"endHours":14.80259586830769,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:25","startHours":7.148692387261187,"endHours":8.424342967435605,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"10:59","startHours":9.699993547610022,"endHours":10.975644127784438,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.529906803586766,"endHours":9.870080291633277,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.573909247319326,"endHours":7.846048037756535,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:35","startHours":11.911121219912344,"endHours":12.591468196005367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.787998435075142,"endHours":6.468345411168165,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.298258667144909,"endHours":7.148692387261187,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.952162148191412,"endHours":14.632509124284436,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.153897028656527,"endHours":17.553897028656525,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.353897028656526,"endHours":17.779113888714665,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.103897028656526,"endHours":18.853897028656526,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:35","startHours":23.911121219912346,"endHours":24.591468196005366,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:25","startHours":7.148692387261187,"endHours":8.424342967435605,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:42","startHours":8.424342967435605,"endHours":9.699993547610022,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"10:59","startHours":9.699993547610022,"endHours":10.975644127784438,"quality":"inauspicious"},{"name":"Chala","start":"10:59","end":"12:15","startHours":10.975644127784438,"endHours":12.251294707958856,"quality":"neutral"},{"name":"Labha","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.526945288133273,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:48","startHours":13.526945288133273,"endHours":14.80259586830769,"quality":"auspicious"},{"name":"Kāla","start":"14:48","end":"16:05","startHours":14.80259586830769,"endHours":16.07824644848211,"quality":"inauspicious"},{"name":"Śubha","start":"16:05","end":"17:21","startHours":16.07824644848211,"endHours":17.353897028656526,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"19:05","startHours":17.353897028656526,"endHours":19.07824644848211,"quality":"auspicious"},{"name":"Kāla","start":"19:05","end":"20:48","startHours":19.07824644848211,"endHours":20.80259586830769,"quality":"inauspicious"},{"name":"Śubha","start":"20:48","end":"22:32","startHours":20.80259586830769,"endHours":22.526945288133273,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:15","startHours":22.526945288133273,"endHours":24.251294707958856,"quality":"inauspicious"},{"name":"Udveg","start":"00:15","end":"01:59","startHours":24.251294707958856,"endHours":25.97564412778444,"quality":"inauspicious"},{"name":"Chala","start":"01:59","end":"03:42","startHours":25.97564412778444,"endHours":27.69999354761002,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:25","startHours":27.69999354761002,"endHours":29.424342967435607,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:09","startHours":29.424342967435607,"endHours":31.148692387261185,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.148692387261187,"endHours":8.148692387261187,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.148692387261187,"endHours":9.148692387261187,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.148692387261187,"endHours":10.148692387261187,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.148692387261187,"endHours":11.148692387261187,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.148692387261187,"endHours":12.148692387261187,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.148692387261187,"endHours":13.148692387261187,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.148692387261187,"endHours":14.148692387261187,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.148692387261187,"endHours":15.148692387261187,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.148692387261187,"endHours":16.148692387261185,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.148692387261185,"endHours":17.148692387261185,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.148692387261185,"endHours":18.148692387261185,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.148692387261185,"endHours":19.148692387261185,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.148692387261185,"endHours":20.148692387261185,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.148692387261185,"endHours":21.148692387261185,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.148692387261185,"endHours":22.148692387261185,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.148692387261185,"endHours":23.148692387261185,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.148692387261185,"endHours":24.148692387261185,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.148692387261185,"endHours":25.148692387261185,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.148692387261185,"endHours":26.148692387261185,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.148692387261185,"endHours":27.148692387261185,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.148692387261185,"endHours":28.148692387261185,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.148692387261185,"endHours":29.148692387261185,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.148692387261185,"endHours":30.148692387261185,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.148692387261185,"endHours":31.148692387261185,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.431404725559062,"eotMinutes":1.851917522468745,"ayanamsa":25.0539}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Caturthī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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, 2085 CE · Ṛṣikeśa · Vidhyamitra","description":"December 20, 2085 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:09, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2085-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2085-12-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2085-12-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2085-12-20","x-default":"https://vidhyamitra.com/city/rishikesh/2085-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:06:05.712Z","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":"2026-05-31T10:06:05.712Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:06:05.712Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}