{"id":"vidhyamitra:city-day:rishikesh:2020-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2020-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-15","date_display":"January 15, 2020 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":2020,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458863.770833,"kali_year":5121,"ahargana":1870398.2708,"sun":{"sidereal_longitude":270.0354,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":144.4994,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.464,"elapsed_within_tithi_degrees":6.464},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.4994,"elapsed_within_degrees":11.1661},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.5349},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2020,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458863.770833,"ahargana":1870398.2708,"kali_year":5121,"ayanamsa_lahiri":24.1329,"grahas":{"sun":{"sidereal_longitude":270.20017899999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":147.047979,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.1478},"mars":{"sidereal_longitude":223.46657900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":272.750079,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":255.77587900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":307.115579,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":268.8725790000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":77.2986,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.2986,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2020,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458863.770833,"kali_year":5121,"ahargana":1870398.2708,"sun":{"sidereal_longitude":270.0354,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":144.4994,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.464,"elapsed_within_tithi_degrees":6.464},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.4994,"elapsed_within_degrees":11.1661},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.5349},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.148,"elongation":125.536},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.148,"opposition_distance":54.464}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.409},{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":0.783,"opposition_distance":1.611}]},"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":"07:14","sunsetLocal":"17:38","solarNoonLocal":"12:26","dayLengthHours":10.405152736398698,"dayLengthDisplay":"10 Hours 24 Mins 19 Secs","nightLengthDisplay":"13 Hours 35 Mins 41 Secs","moonriseLocal":"22:03","moonsetLocal":"10:24","rahuKala":{"name":"Rāhu Kāla","start":"12:26","end":"13:44","startHours":12.437992490768888,"endHours":13.738636582818726,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:50","startHours":8.536060214619377,"endHours":9.836704306669215,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:26","startHours":11.137348398719052,"endHours":12.437992490768888,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.663285094395903,"endHours":10.010123518942526,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.668964153252819,"endHours":7.946434892890117,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.091154066222265,"endHours":12.784830915315512,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.848062424383047,"endHours":6.541739273476294,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.368320061202982,"endHours":7.23541612256954,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.172184613502004,"endHours":14.865861462595252,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.440568858968238,"endHours":17.840568858968236,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.640568858968237,"endHours":18.074116889651517,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.390568858968237,"endHours":19.140568858968237,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.091154066222266,"endHours":24.78483091531551,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:14","end":"08:32","startHours":7.23541612256954,"endHours":8.536060214619377,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:50","startHours":8.536060214619377,"endHours":9.836704306669215,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:08","startHours":9.836704306669215,"endHours":11.137348398719052,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:26","startHours":11.137348398719052,"endHours":12.437992490768888,"quality":"auspicious"},{"name":"Roga","start":"12:26","end":"13:44","startHours":12.437992490768888,"endHours":13.738636582818726,"quality":"inauspicious"},{"name":"Udveg","start":"13:44","end":"15:02","startHours":13.738636582818726,"endHours":15.039280674868564,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:20","startHours":15.039280674868564,"endHours":16.3399247669184,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:38","startHours":16.3399247669184,"endHours":17.640568858968237,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:38","end":"19:20","startHours":17.640568858968237,"endHours":19.3399247669184,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"21:02","startHours":19.3399247669184,"endHours":21.039280674868564,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:44","startHours":21.039280674868564,"endHours":22.738636582818724,"quality":"auspicious"},{"name":"Amṛta","start":"22:44","end":"00:26","startHours":22.738636582818724,"endHours":24.437992490768888,"quality":"auspicious"},{"name":"Kāla","start":"00:26","end":"02:08","startHours":24.437992490768888,"endHours":26.137348398719052,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:50","startHours":26.137348398719052,"endHours":27.836704306669212,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:32","startHours":27.836704306669212,"endHours":29.536060214619376,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:14","startHours":29.536060214619376,"endHours":31.23541612256954,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.23541612256954,"endHours":8.23541612256954,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.23541612256954,"endHours":9.23541612256954,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.23541612256954,"endHours":10.23541612256954,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.23541612256954,"endHours":11.23541612256954,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.23541612256954,"endHours":12.23541612256954,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.23541612256954,"endHours":13.23541612256954,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.23541612256954,"endHours":14.23541612256954,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.23541612256954,"endHours":15.23541612256954,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.23541612256954,"endHours":16.23541612256954,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.23541612256954,"endHours":17.23541612256954,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.23541612256954,"endHours":18.23541612256954,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.23541612256954,"endHours":19.23541612256954,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.23541612256954,"endHours":20.23541612256954,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.23541612256954,"endHours":21.23541612256954,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.23541612256954,"endHours":22.23541612256954,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.23541612256954,"endHours":23.23541612256954,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.23541612256954,"endHours":24.23541612256954,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.23541612256954,"endHours":25.23541612256954,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.23541612256954,"endHours":26.23541612256954,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.23541612256954,"endHours":27.23541612256954,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.23541612256954,"endHours":28.23541612256954,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.23541612256954,"endHours":29.23541612256954,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.23541612256954,"endHours":30.23541612256954,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.23541612256954,"endHours":31.23541612256954,"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.24766857360989,"eotMinutes":-9.349949446133257,"ayanamsa":24.1329}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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 January 15, 2020 CE · Ṛṣikeśa · Vidhyamitra","description":"January 15, 2020 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 07:14, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2020-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2020-01-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2020-01-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2020-01-15","x-default":"https://vidhyamitra.com/city/rishikesh/2020-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:35:29.928Z","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":"2026-05-15T06:35:29.928Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:35:29.928Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}