{"id":"vidhyamitra:city-day:rishikesh:2111-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2111-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2111-01-21","date_display":"January 21, 2111 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":2111,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492106.770833,"kali_year":5212,"ahargana":1903641.2708,"sun":{"sidereal_longitude":274.6068,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":48.8977,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.2909,"elapsed_within_tithi_degrees":2.2909},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.8977,"elapsed_within_degrees":8.8977},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.5045},"karana":{"half_tithi_index":22,"name":"Bava"},"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":2111,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492106.770833,"ahargana":1903641.2708,"kali_year":5212,"ayanamsa_lahiri":25.4043,"grahas":{"sun":{"sidereal_longitude":274.947952,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":51.292452000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-4.1424},"mars":{"sidereal_longitude":321.160352,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":265.98175200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":150.51525200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":301.343652,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":295.65195199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":115.9245,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":295.9245,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2111,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492106.770833,"kali_year":5212,"ahargana":1903641.2708,"sun":{"sidereal_longitude":274.6068,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":48.8977,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.2909,"elapsed_within_tithi_degrees":2.2909},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.8977,"elapsed_within_degrees":8.8977},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.5045},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.142,"elongation":134.291},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.142,"opposition_distance":45.709}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":-1.299,"opposition_distance":0.207}]},"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":"07:13","sunsetLocal":"17:43","solarNoonLocal":"12:28","dayLengthHours":10.509870078952332,"dayLengthDisplay":"10 Hours 30 Mins 36 Secs","nightLengthDisplay":"13 Hours 29 Mins 24 Secs","moonriseLocal":"14:34","moonsetLocal":"04:33","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.78348928068791,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:51","startHours":8.528554241211744,"endHours":9.842288001080785,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.156021760949827,"endHours":12.469755520818868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.667123499764914,"endHours":10.017452502396658,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.6527317346323835,"endHours":7.932994936737779,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119426518187124,"endHours":12.820084523450612,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.813504470815726,"endHours":6.514162476079214,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.338997974763342,"endHours":7.214820481342703,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.22140053397759,"endHours":14.922058539241078,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.524690560295035,"endHours":17.924690560295033,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:10","startHours":17.724690560295034,"endHours":18.162601813584715,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.474690560295034,"endHours":19.224690560295034,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119426518187122,"endHours":24.820084523450614,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:32","startHours":7.214820481342703,"endHours":8.528554241211744,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:51","startHours":8.528554241211744,"endHours":9.842288001080785,"quality":"auspicious"},{"name":"Kāla","start":"09:51","end":"11:09","startHours":9.842288001080785,"endHours":11.156021760949827,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.156021760949827,"endHours":12.469755520818868,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.78348928068791,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:06","startHours":13.78348928068791,"endHours":15.097223040556951,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:25","startHours":15.097223040556951,"endHours":16.410956800425993,"quality":"neutral"},{"name":"Labha","start":"16:25","end":"17:43","startHours":16.410956800425993,"endHours":17.724690560295034,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:43","end":"19:25","startHours":17.724690560295034,"endHours":19.410956800425993,"quality":"inauspicious"},{"name":"Chala","start":"19:25","end":"21:06","startHours":19.410956800425993,"endHours":21.09722304055695,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:47","startHours":21.09722304055695,"endHours":22.78348928068791,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.78348928068791,"endHours":24.469755520818868,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.156021760949827,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:51","startHours":26.156021760949827,"endHours":27.842288001080785,"quality":"auspicious"},{"name":"Roga","start":"03:51","end":"05:32","startHours":27.842288001080785,"endHours":29.528554241211744,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:13","startHours":29.528554241211744,"endHours":31.214820481342702,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.214820481342703,"endHours":8.214820481342702,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.214820481342702,"endHours":9.214820481342702,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.214820481342702,"endHours":10.214820481342702,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.214820481342702,"endHours":11.214820481342702,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.214820481342702,"endHours":12.214820481342702,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.214820481342702,"endHours":13.214820481342702,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.214820481342702,"endHours":14.214820481342702,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.214820481342702,"endHours":15.214820481342702,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.214820481342702,"endHours":16.214820481342702,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.214820481342702,"endHours":17.214820481342702,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.214820481342702,"endHours":18.214820481342702,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.214820481342702,"endHours":19.214820481342702,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.214820481342702,"endHours":20.214820481342702,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.214820481342702,"endHours":21.214820481342702,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.214820481342702,"endHours":22.214820481342702,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.214820481342702,"endHours":23.214820481342702,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.214820481342702,"endHours":24.214820481342702,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.214820481342702,"endHours":25.214820481342702,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.214820481342702,"endHours":26.214820481342702,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.214820481342702,"endHours":27.214820481342702,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.214820481342702,"endHours":28.214820481342702,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.214820481342702,"endHours":29.214820481342702,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.214820481342702,"endHours":30.214820481342702,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.214820481342702,"endHours":31.214820481342702,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.073010592219102,"eotMinutes":-11.255731249132124,"ayanamsa":25.4043}},"calendars":{"vikram_samvat":2168,"vikram_samvatsara":"Tāraṇa","saka_samvat":2033,"saka_samvatsara":"Prajāpati","bengali_samvat":1518,"malayalam_era":1287,"nanakshahi_year":642,"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":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvādaśī · Vikram 2168 Tāraṇa · Śaka 2033 Prajāpati"},"festivals":[],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 January 21, 2111 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 2111 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:13, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2111-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2111-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2111-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2111-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/2111-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:43:31.185Z","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":"2026-05-31T19:43:31.185Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:43:31.185Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}