{"id":"vidhyamitra:city-day:rishikesh:2151-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2151-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2151-12-17","date_display":"December 17, 2151 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":2151,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507046.770833,"kali_year":5253,"ahargana":1918581.2708,"sun":{"sidereal_longitude":238.0229,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":339.4451,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.4222,"elapsed_within_tithi_degrees":5.4222},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.4451,"elapsed_within_degrees":6.1117},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.468},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2151,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507046.770833,"ahargana":1918581.2708,"kali_year":5253,"ayanamsa_lahiri":25.9757,"grahas":{"sun":{"sidereal_longitude":238.77533500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":338.073535,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.0738},"mars":{"sidereal_longitude":241.406335,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":227.67153499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":287.1391349999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":204.34673499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":87.28853500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":44.3314,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.3314,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2151,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507046.770833,"kali_year":5253,"ahargana":1918581.2708,"sun":{"sidereal_longitude":238.0229,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":339.4451,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.4222,"elapsed_within_tithi_degrees":5.4222},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.4451,"elapsed_within_degrees":6.1117},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.468},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.074,"elongation":101.422},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.074,"opposition_distance":78.578}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-0.403,"elongation":1.151}]},"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":"07:07","sunsetLocal":"17:20","solarNoonLocal":"12:14","dayLengthHours":10.214431340160829,"dayLengthDisplay":"10 Hours 12 Mins 52 Secs","nightLengthDisplay":"13 Hours 47 Mins 08 Secs","moonriseLocal":"12:44","moonsetLocal":"00:57","rahuKala":{"name":"Rāhu Kāla","start":"10:57","end":"12:14","startHours":10.951133267861426,"endHours":12.227937185381528,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:47","end":"16:04","startHours":14.781545020421735,"endHours":16.05834893794184,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:24","end":"09:40","startHours":8.397525432821219,"endHours":9.67432935034132,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.504088828005308,"endHours":9.844569872677335,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:49","startHours":7.546322821141149,"endHours":7.818707656878771,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.8874561407095,"endHours":12.568418230053556,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:26","startHours":5.758797336613004,"endHours":6.439759425957059,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.269518903621045,"endHours":7.120721515301114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.930342408741666,"endHours":14.61130449808572,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.135152855461943,"endHours":17.53515285546194,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.335152855461942,"endHours":17.760754161301975,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.085152855461942,"endHours":18.835152855461942,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.8874561407095,"endHours":24.568418230053556,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:07","end":"08:24","startHours":7.120721515301114,"endHours":8.397525432821219,"quality":"neutral"},{"name":"Labha","start":"08:24","end":"09:40","startHours":8.397525432821219,"endHours":9.67432935034132,"quality":"auspicious"},{"name":"Amṛta","start":"09:40","end":"10:57","startHours":9.67432935034132,"endHours":10.951133267861426,"quality":"auspicious"},{"name":"Kāla","start":"10:57","end":"12:14","startHours":10.951133267861426,"endHours":12.227937185381528,"quality":"inauspicious"},{"name":"Śubha","start":"12:14","end":"13:30","startHours":12.227937185381528,"endHours":13.504741102901633,"quality":"auspicious"},{"name":"Roga","start":"13:30","end":"14:47","startHours":13.504741102901633,"endHours":14.781545020421735,"quality":"inauspicious"},{"name":"Udveg","start":"14:47","end":"16:04","startHours":14.781545020421735,"endHours":16.05834893794184,"quality":"inauspicious"},{"name":"Chala","start":"16:04","end":"17:20","startHours":16.05834893794184,"endHours":17.335152855461942,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:20","end":"19:04","startHours":17.335152855461942,"endHours":19.058348937941837,"quality":"inauspicious"},{"name":"Udveg","start":"19:04","end":"20:47","startHours":19.058348937941837,"endHours":20.781545020421735,"quality":"inauspicious"},{"name":"Chala","start":"20:47","end":"22:30","startHours":20.781545020421735,"endHours":22.504741102901633,"quality":"neutral"},{"name":"Labha","start":"22:30","end":"00:14","startHours":22.504741102901633,"endHours":24.227937185381528,"quality":"auspicious"},{"name":"Amṛta","start":"00:14","end":"01:57","startHours":24.227937185381528,"endHours":25.951133267861422,"quality":"auspicious"},{"name":"Kāla","start":"01:57","end":"03:40","startHours":25.951133267861422,"endHours":27.67432935034132,"quality":"inauspicious"},{"name":"Śubha","start":"03:40","end":"05:24","startHours":27.67432935034132,"endHours":29.39752543282122,"quality":"auspicious"},{"name":"Roga","start":"05:24","end":"07:07","startHours":29.39752543282122,"endHours":31.120721515301113,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.120721515301114,"endHours":8.120721515301113,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.120721515301113,"endHours":9.120721515301113,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.120721515301113,"endHours":10.120721515301113,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.120721515301113,"endHours":11.120721515301113,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.120721515301113,"endHours":12.120721515301113,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.120721515301113,"endHours":13.120721515301113,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.120721515301113,"endHours":14.120721515301113,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.120721515301113,"endHours":15.120721515301113,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.120721515301113,"endHours":16.120721515301113,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.120721515301113,"endHours":17.120721515301113,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.120721515301113,"endHours":18.120721515301113,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.120721515301113,"endHours":19.120721515301113,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.120721515301113,"endHours":20.120721515301113,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.120721515301113,"endHours":21.120721515301113,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.120721515301113,"endHours":22.120721515301113,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.120721515301113,"endHours":23.120721515301113,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.120721515301113,"endHours":24.120721515301113,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.120721515301113,"endHours":25.120721515301113,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.120721515301113,"endHours":26.120721515301113,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.120721515301113,"endHours":27.120721515301113,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.120721515301113,"endHours":28.120721515301113,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.120721515301113,"endHours":29.120721515301113,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.120721515301113,"endHours":30.120721515301113,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.120721515301113,"endHours":31.120721515301113,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāṇa","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":-23.332387117695063,"eotMinutes":3.253368877108411,"ayanamsa":25.9757}},"calendars":{"vikram_samvat":2208,"vikram_samvatsara":"Raktākṣī","saka_samvat":2073,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1558,"malayalam_era":1327,"nanakshahi_year":682,"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 Navamī · Vikram 2208 Raktākṣī · Śaka 2073 Virodhakṛt"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 17, 2151 CE · Ṛṣikeśa · Vidhyamitra","description":"December 17, 2151 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2151-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2151-12-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2151-12-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2151-12-17","x-default":"https://vidhyamitra.com/city/rishikesh/2151-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:46:45.940Z","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":"2026-06-02T13:46:45.940Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:46:45.940Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}