{"id":"vidhyamitra:city-day:rishikesh:2070-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2070-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2070-12-18","date_display":"December 18, 2070 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":2070,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477463.770833,"kali_year":5172,"ahargana":1888998.2708,"sun":{"sidereal_longitude":241.0593,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":65.5727,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.5134,"elapsed_within_tithi_degrees":4.5134},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.5727,"elapsed_within_degrees":12.2394},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.6321},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":2070,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477463.770833,"ahargana":1888998.2708,"kali_year":5172,"ayanamsa_lahiri":24.8443,"grahas":{"sun":{"sidereal_longitude":241.59342300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":66.92922299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-4.3208},"mars":{"sidereal_longitude":229.38122299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":221.56492300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":354.107123,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":258.070023,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":183.780623,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":171.7811,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.7811,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2070,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477463.770833,"kali_year":5172,"ahargana":1888998.2708,"sun":{"sidereal_longitude":241.0593,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":65.5727,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.5134,"elapsed_within_tithi_degrees":4.5134},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.5727,"elapsed_within_degrees":12.2394},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.6321},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.321,"elongation":175.487},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.321,"opposition_distance":4.513}},"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":"07:08","sunsetLocal":"17:20","solarNoonLocal":"12:14","dayLengthHours":10.209202793623614,"dayLengthDisplay":"10 Hours 12 Mins 33 Secs","nightLengthDisplay":"13 Hours 47 Mins 27 Secs","moonriseLocal":"17:34","moonsetLocal":"07:37","rahuKala":{"name":"Rāhu Kāla","start":"13:31","end":"14:47","startHours":13.511848226733932,"endHours":14.787998575936882,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:24","startHours":7.131096480719172,"endHours":8.407246829922125,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:41","end":"10:58","startHours":9.683397179125077,"endHours":10.959547528328027,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.513243799231349,"endHours":9.853550559018803,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.55647993045349,"endHours":7.828725338283453,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.895391117743525,"endHours":12.576004637318434,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.769869441569357,"endHours":6.450482961144265,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.2803295812505375,"endHours":7.131096480719172,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.937231676468247,"endHours":14.617845196043154,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.140299274342787,"endHours":17.540299274342786,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.340299274342787,"endHours":17.765682724077102,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.090299274342787,"endHours":18.840299274342787,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.89539111774353,"endHours":24.576004637318434,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:08","end":"08:24","startHours":7.131096480719172,"endHours":8.407246829922125,"quality":"auspicious"},{"name":"Roga","start":"08:24","end":"09:41","startHours":8.407246829922125,"endHours":9.683397179125077,"quality":"inauspicious"},{"name":"Udveg","start":"09:41","end":"10:58","startHours":9.683397179125077,"endHours":10.959547528328027,"quality":"inauspicious"},{"name":"Chala","start":"10:58","end":"12:14","startHours":10.959547528328027,"endHours":12.23569787753098,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:31","startHours":12.23569787753098,"endHours":13.511848226733932,"quality":"auspicious"},{"name":"Amṛta","start":"13:31","end":"14:47","startHours":13.511848226733932,"endHours":14.787998575936882,"quality":"auspicious"},{"name":"Kāla","start":"14:47","end":"16:04","startHours":14.787998575936882,"endHours":16.064148925139833,"quality":"inauspicious"},{"name":"Śubha","start":"16:04","end":"17:20","startHours":16.064148925139833,"endHours":17.340299274342787,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:20","end":"19:04","startHours":17.340299274342787,"endHours":19.064148925139836,"quality":"auspicious"},{"name":"Kāla","start":"19:04","end":"20:47","startHours":19.064148925139836,"endHours":20.787998575936882,"quality":"inauspicious"},{"name":"Śubha","start":"20:47","end":"22:31","startHours":20.787998575936882,"endHours":22.51184822673393,"quality":"auspicious"},{"name":"Roga","start":"22:31","end":"00:14","startHours":22.51184822673393,"endHours":24.23569787753098,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:58","startHours":24.23569787753098,"endHours":25.959547528328027,"quality":"inauspicious"},{"name":"Chala","start":"01:58","end":"03:41","startHours":25.959547528328027,"endHours":27.683397179125077,"quality":"neutral"},{"name":"Labha","start":"03:41","end":"05:24","startHours":27.683397179125077,"endHours":29.407246829922123,"quality":"auspicious"},{"name":"Amṛta","start":"05:24","end":"07:08","startHours":29.407246829922123,"endHours":31.131096480719172,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.131096480719172,"endHours":8.131096480719172,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.131096480719172,"endHours":9.131096480719172,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.131096480719172,"endHours":10.131096480719172,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.131096480719172,"endHours":11.131096480719172,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.131096480719172,"endHours":12.131096480719172,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.131096480719172,"endHours":13.131096480719172,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.131096480719172,"endHours":14.131096480719172,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.131096480719172,"endHours":15.131096480719172,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.131096480719172,"endHours":16.131096480719172,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.131096480719172,"endHours":17.131096480719172,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.131096480719172,"endHours":18.131096480719172,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.131096480719172,"endHours":19.131096480719172,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.131096480719172,"endHours":20.131096480719172,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.131096480719172,"endHours":21.131096480719172,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.131096480719172,"endHours":22.131096480719172,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.131096480719172,"endHours":23.131096480719172,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.131096480719172,"endHours":24.131096480719172,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.131096480719172,"endHours":25.131096480719172,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.131096480719172,"endHours":26.131096480719172,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.131096480719172,"endHours":27.131096480719172,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.131096480719172,"endHours":28.131096480719172,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.131096480719172,"endHours":29.131096480719172,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.131096480719172,"endHours":30.131096480719172,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.131096480719172,"endHours":31.131096480719172,"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","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":-23.388519103787505,"eotMinutes":2.787727348141232,"ayanamsa":24.8443}},"calendars":{"vikram_samvat":2127,"vikram_samvatsara":"Śobhana","saka_samvat":1992,"saka_samvatsara":"Vikṛti","bengali_samvat":1477,"malayalam_era":1246,"nanakshahi_year":601,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Pratipada · Vikram 2127 Śobhana · Śaka 1992 Vikṛti"},"festivals":[],"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 18, 2070 CE · Ṛṣikeśa · Vidhyamitra","description":"December 18, 2070 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 07:08, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2070-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2070-12-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2070-12-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2070-12-18","x-default":"https://vidhyamitra.com/city/rishikesh/2070-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:37:56.708Z","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":"2026-05-31T14:37:56.708Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:37:56.708Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}