{"id":"vidhyamitra:city-day:rishikesh:2178-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2178-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2178-01-03","date_display":"January 3, 2178 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":2178,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516560.770833,"kali_year":5279,"ahargana":1928095.2708,"sun":{"sidereal_longitude":255.7662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":57.6397,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.8735,"elapsed_within_tithi_degrees":5.8735},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.6397,"elapsed_within_degrees":4.3064},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.4059},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2178,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516560.770833,"ahargana":1928095.2708,"kali_year":5279,"ayanamsa_lahiri":26.3396,"grahas":{"sun":{"sidereal_longitude":256.4239299999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":58.40463,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":1.7274},"mars":{"sidereal_longitude":213.55543,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.03933000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":1.3130300000000261,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":264.58322999999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":33.69303000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":260.2339,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.2339,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"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":2178,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516560.770833,"kali_year":5279,"ahargana":1928095.2708,"sun":{"sidereal_longitude":255.7662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":57.6397,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.8735,"elapsed_within_tithi_degrees":5.8735},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.6397,"elapsed_within_degrees":4.3064},"yoga":{"number":24,"name":"Śukla","sum_longitude":313.4059},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.727,"elongation":161.874},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.727,"opposition_distance":18.126}},"eclipse_window_40days":[{"offset_days":-14,"type":"solar","occurs":true,"moon_latitude":-1.455,"elongation":0.707},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":1.2,"elongation":2.654}]},"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":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.261538688218623,"dayLengthDisplay":"10 Hours 15 Mins 42 Secs","nightLengthDisplay":"13 Hours 44 Mins 18 Secs","moonriseLocal":"16:09","moonsetLocal":"06:10","rahuKala":{"name":"Rāhu Kāla","start":"09:48","end":"11:05","startHours":9.79326567512298,"endHours":11.075958011150309,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:38","end":"14:55","startHours":13.641342683204964,"endHours":14.924035019232292,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:31","startHours":7.227881003068324,"endHours":8.510573339095652,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.622240030319336,"endHours":9.964291319926623,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.655445115077433,"endHours":7.929086146763263,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.01659905757035,"endHours":12.700701636784924,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.859675844639175,"endHours":6.543778423853749,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.3727527790501055,"endHours":7.227881003068324,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.068906795214073,"endHours":14.753009374428647,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.289419691286948,"endHours":17.689419691286947,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.489419691286948,"endHours":17.916983803296056,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.239419691286948,"endHours":18.989419691286948,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.01659905757035,"endHours":24.700701636784924,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:31","startHours":7.227881003068324,"endHours":8.510573339095652,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:48","startHours":8.510573339095652,"endHours":9.79326567512298,"quality":"auspicious"},{"name":"Roga","start":"09:48","end":"11:05","startHours":9.79326567512298,"endHours":11.075958011150309,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:22","startHours":11.075958011150309,"endHours":12.358650347177637,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"13:38","startHours":12.358650347177637,"endHours":13.641342683204964,"quality":"neutral"},{"name":"Labha","start":"13:38","end":"14:55","startHours":13.641342683204964,"endHours":14.924035019232292,"quality":"auspicious"},{"name":"Amṛta","start":"14:55","end":"16:12","startHours":14.924035019232292,"endHours":16.20672735525962,"quality":"auspicious"},{"name":"Kāla","start":"16:12","end":"17:29","startHours":16.20672735525962,"endHours":17.489419691286948,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:29","end":"19:12","startHours":17.489419691286948,"endHours":19.20672735525962,"quality":"auspicious"},{"name":"Amṛta","start":"19:12","end":"20:55","startHours":19.20672735525962,"endHours":20.924035019232292,"quality":"auspicious"},{"name":"Kāla","start":"20:55","end":"22:38","startHours":20.924035019232292,"endHours":22.641342683204964,"quality":"inauspicious"},{"name":"Śubha","start":"22:38","end":"00:22","startHours":22.641342683204964,"endHours":24.358650347177637,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"02:05","startHours":24.358650347177637,"endHours":26.075958011150306,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:48","startHours":26.075958011150306,"endHours":27.79326567512298,"quality":"inauspicious"},{"name":"Chala","start":"03:48","end":"05:31","startHours":27.79326567512298,"endHours":29.51057333909565,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:14","startHours":29.51057333909565,"endHours":31.227881003068326,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.227881003068324,"endHours":8.227881003068324,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.227881003068324,"endHours":9.227881003068324,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.227881003068324,"endHours":10.227881003068324,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.227881003068324,"endHours":11.227881003068324,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.227881003068324,"endHours":12.227881003068324,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.227881003068324,"endHours":13.227881003068324,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.227881003068324,"endHours":14.227881003068324,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.227881003068324,"endHours":15.227881003068324,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.227881003068324,"endHours":16.227881003068326,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.227881003068326,"endHours":17.227881003068326,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.227881003068326,"endHours":18.227881003068326,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.227881003068326,"endHours":19.227881003068326,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.227881003068326,"endHours":20.227881003068326,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.227881003068326,"endHours":21.227881003068326,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.227881003068326,"endHours":22.227881003068326,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.227881003068326,"endHours":23.227881003068326,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.227881003068326,"endHours":24.227881003068326,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.227881003068326,"endHours":25.227881003068326,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.227881003068326,"endHours":26.227881003068326,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.227881003068326,"endHours":27.227881003068326,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.227881003068326,"endHours":28.227881003068326,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.227881003068326,"endHours":29.227881003068326,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.227881003068326,"endHours":30.227881003068326,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.227881003068326,"endHours":31.227881003068326,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.824177844486087,"eotMinutes":-4.589420830658165,"ayanamsa":26.3396}},"calendars":{"vikram_samvat":2235,"vikram_samvatsara":"Khara","saka_samvat":2100,"saka_samvatsara":"Bahudhānya","bengali_samvat":1585,"malayalam_era":1354,"nanakshahi_year":709,"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 Caturdaśī · Vikram 2235 Khara · Śaka 2100 Bahudhānya"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 3, 2178 CE · Ṛṣikeśa · Vidhyamitra","description":"January 3, 2178 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:14, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2178-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2178-01-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2178-01-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2178-01-03","x-default":"https://vidhyamitra.com/city/rishikesh/2178-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T16:24:24.981Z","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":"2026-05-29T16:24:24.981Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T16:24:24.981Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}