{"id":"vidhyamitra:city-day:rishikesh:2017-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2017-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2017-12-20","date_display":"December 20, 2017 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":2017,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458107.770833,"kali_year":5119,"ahargana":1869642.2708,"sun":{"sidereal_longitude":243.8459,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":265.2905,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.4446,"elapsed_within_tithi_degrees":9.4446},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.2905,"elapsed_within_degrees":11.9572},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.1364},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2017,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458107.770833,"ahargana":1869642.2708,"kali_year":5119,"ayanamsa_lahiri":24.104,"grahas":{"sun":{"sidereal_longitude":244.23096399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":263.41446399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":2.3872},"mars":{"sidereal_longitude":192.283364,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":229.33806400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":200.46466399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":239.13966400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":245.72776399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":117.3551,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.3551,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2017,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458107.770833,"kali_year":5119,"ahargana":1869642.2708,"sun":{"sidereal_longitude":243.8459,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":265.2905,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.4446,"elapsed_within_tithi_degrees":9.4446},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.2905,"elapsed_within_degrees":11.9572},"yoga":{"number":12,"name":"Dhruva","sum_longitude":149.1364},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.387,"elongation":21.445},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.387,"opposition_distance":158.555}},"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":10.205707422805467,"dayLengthDisplay":"10 Hours 12 Mins 21 Secs","nightLengthDisplay":"13 Hours 47 Mins 39 Secs","moonriseLocal":"08:24","moonsetLocal":"18:40","rahuKala":{"name":"Rāhu Kāla","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527008135809538,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:25","end":"09:42","startHours":8.424154424406805,"endHours":9.699867852257487,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:15","startHours":10.975581280108171,"endHours":12.251294707958856,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.529772728544064,"endHours":9.869962975970912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.573678805839682,"endHours":7.845831003781162,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:35","startHours":11.911104460532007,"endHours":12.591484955385704,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.787680006848726,"endHours":6.468060501702423,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.297965377988999,"endHours":7.148440996556121,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.9522459450931,"endHours":14.632626439946797,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.15414841936159,"endHours":17.55414841936159,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.35414841936159,"endHours":17.77938622864515,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.10414841936159,"endHours":18.85414841936159,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:35","startHours":23.911104460532005,"endHours":24.591484955385706,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:09","end":"08:25","startHours":7.148440996556121,"endHours":8.424154424406805,"quality":"auspicious"},{"name":"Amṛta","start":"08:25","end":"09:42","startHours":8.424154424406805,"endHours":9.699867852257487,"quality":"auspicious"},{"name":"Kāla","start":"09:42","end":"10:59","startHours":9.699867852257487,"endHours":10.975581280108171,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:15","startHours":10.975581280108171,"endHours":12.251294707958856,"quality":"auspicious"},{"name":"Roga","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527008135809538,"quality":"inauspicious"},{"name":"Udveg","start":"13:32","end":"14:48","startHours":13.527008135809538,"endHours":14.80272156366022,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:05","startHours":14.80272156366022,"endHours":16.078434991510907,"quality":"neutral"},{"name":"Labha","start":"16:05","end":"17:21","startHours":16.078434991510907,"endHours":17.35414841936159,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:21","end":"19:05","startHours":17.35414841936159,"endHours":19.078434991510907,"quality":"inauspicious"},{"name":"Chala","start":"19:05","end":"20:48","startHours":19.078434991510907,"endHours":20.80272156366022,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:32","startHours":20.80272156366022,"endHours":22.527008135809538,"quality":"auspicious"},{"name":"Amṛta","start":"22:32","end":"00:15","startHours":22.527008135809538,"endHours":24.251294707958856,"quality":"auspicious"},{"name":"Kāla","start":"00:15","end":"01:59","startHours":24.251294707958856,"endHours":25.975581280108173,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:42","startHours":25.975581280108173,"endHours":27.69986785225749,"quality":"auspicious"},{"name":"Roga","start":"03:42","end":"05:25","startHours":27.69986785225749,"endHours":29.424154424406805,"quality":"inauspicious"},{"name":"Udveg","start":"05:25","end":"07:09","startHours":29.424154424406805,"endHours":31.148440996556122,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.148440996556121,"endHours":8.148440996556122,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.148440996556122,"endHours":9.148440996556122,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.148440996556122,"endHours":10.148440996556122,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.148440996556122,"endHours":11.148440996556122,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.148440996556122,"endHours":12.148440996556122,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.148440996556122,"endHours":13.148440996556122,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.148440996556122,"endHours":14.148440996556122,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.148440996556122,"endHours":15.148440996556122,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.148440996556122,"endHours":16.148440996556122,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.148440996556122,"endHours":17.148440996556122,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.148440996556122,"endHours":18.148440996556122,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.148440996556122,"endHours":19.148440996556122,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.148440996556122,"endHours":20.148440996556122,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.148440996556122,"endHours":21.148440996556122,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.148440996556122,"endHours":22.148440996556122,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.148440996556122,"endHours":23.148440996556122,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.148440996556122,"endHours":24.148440996556122,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.148440996556122,"endHours":25.148440996556122,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.148440996556122,"endHours":26.148440996556122,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.148440996556122,"endHours":27.148440996556122,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.148440996556122,"endHours":28.148440996556122,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.148440996556122,"endHours":29.148440996556122,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.148440996556122,"endHours":30.148440996556122,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.148440996556122,"endHours":31.148440996556122,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.42601348645807,"eotMinutes":1.851917522468745,"ayanamsa":24.104}},"calendars":{"vikram_samvat":2074,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1939,"saka_samvatsara":"Hemalambī","bengali_samvat":1424,"malayalam_era":1193,"nanakshahi_year":548,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2074 Sādhāraṇa · Śaka 1939 Hemalambī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2017 CE · Ṛṣikeśa · Vidhyamitra","description":"December 20, 2017 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 07:09, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2017-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2017-12-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2017-12-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2017-12-20","x-default":"https://vidhyamitra.com/city/rishikesh/2017-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T15:02:24.476Z","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":"2026-05-15T15:02:24.476Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T15:02:24.476Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}