{"id":"vidhyamitra:city-day:rishikesh:2121-05-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-05-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-05-12","date_display":"May 12, 2121 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":2121,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495870.770833,"kali_year":5223,"ahargana":1907405.2708,"sun":{"sidereal_longitude":25.5518,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":324.3214,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.7696,"elapsed_within_tithi_degrees":10.7696},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3214,"elapsed_within_degrees":4.3214},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.8731},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2121,"month":5,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495870.770833,"ahargana":1907405.2708,"kali_year":5223,"ayanamsa_lahiri":25.5483,"grahas":{"sun":{"sidereal_longitude":25.82504,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":322.72484,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":3.3337},"mars":{"sidereal_longitude":115.90933999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":29.68423999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":87.23113999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":338.20654,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":65.06453999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":276.4897,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.4897,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2121,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495870.770833,"kali_year":5223,"ahargana":1907405.2708,"sun":{"sidereal_longitude":25.5518,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":324.3214,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.7696,"elapsed_within_tithi_degrees":10.7696},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3214,"elapsed_within_degrees":4.3214},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":349.8731},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.334,"elongation":61.23},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.334,"opposition_distance":118.77}},"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":"05:25","sunsetLocal":"19:01","solarNoonLocal":"12:13","dayLengthHours":13.59346853489503,"dayLengthDisplay":"13 Hours 35 Mins 36 Secs","nightLengthDisplay":"10 Hours 24 Mins 24 Secs","moonriseLocal":"02:09","moonsetLocal":"13:53","rahuKala":{"name":"Rāhu Kāla","start":"07:07","end":"08:49","startHours":7.122316304753224,"endHours":8.821499871615103,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"12:13","startHours":10.520683438476981,"endHours":12.219867005338859,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:37","startHours":13.919050572200739,"endHours":15.618234139062617,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:03","startHours":8.594942062700184,"endHours":9.04805768053002,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.9895272601786385,"endHours":6.352019754442506,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.766751387509025,"endHours":12.672982623168693,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:31","startHours":3.610670266572008,"endHours":4.5169015022316765,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.29034369331676,"endHours":5.423132737891345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.48544509448803,"endHours":15.391676330147698,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.816601272786375,"endHours":19.216601272786374,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.016601272786374,"endHours":19.582995795073668,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.766601272786374,"endHours":20.516601272786374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.766751387509025,"endHours":24.672982623168693,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:25","end":"07:07","startHours":5.423132737891345,"endHours":7.122316304753224,"quality":"auspicious"},{"name":"Kāla","start":"07:07","end":"08:49","startHours":7.122316304753224,"endHours":8.821499871615103,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:31","startHours":8.821499871615103,"endHours":10.520683438476981,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"12:13","startHours":10.520683438476981,"endHours":12.219867005338859,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:55","startHours":12.219867005338859,"endHours":13.919050572200739,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:37","startHours":13.919050572200739,"endHours":15.618234139062617,"quality":"neutral"},{"name":"Labha","start":"15:37","end":"17:19","startHours":15.618234139062617,"endHours":17.3174177059245,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"19:01","startHours":17.3174177059245,"endHours":19.016601272786374,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:01","end":"20:19","startHours":19.016601272786374,"endHours":20.317417705924495,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:37","startHours":20.317417705924495,"endHours":21.61823413906262,"quality":"auspicious"},{"name":"Amṛta","start":"21:37","end":"22:55","startHours":21.61823413906262,"endHours":22.91905057220074,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:13","startHours":22.91905057220074,"endHours":24.21986700533886,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:31","startHours":24.21986700533886,"endHours":25.52068343847698,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"02:49","startHours":25.52068343847698,"endHours":26.821499871615103,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:07","startHours":26.821499871615103,"endHours":28.122316304753223,"quality":"inauspicious"},{"name":"Chala","start":"04:07","end":"05:25","startHours":28.122316304753223,"endHours":29.423132737891343,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.423132737891345,"endHours":6.423132737891345,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.423132737891345,"endHours":7.423132737891345,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.423132737891345,"endHours":8.423132737891345,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.423132737891345,"endHours":9.423132737891345,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.423132737891345,"endHours":10.423132737891345,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.423132737891345,"endHours":11.423132737891345,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.423132737891345,"endHours":12.423132737891345,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.423132737891345,"endHours":13.423132737891345,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.423132737891345,"endHours":14.423132737891345,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.423132737891345,"endHours":15.423132737891345,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.423132737891345,"endHours":16.423132737891343,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.423132737891343,"endHours":17.423132737891343,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.423132737891343,"endHours":18.423132737891343,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.423132737891343,"endHours":19.423132737891343,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.423132737891343,"endHours":20.423132737891343,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.423132737891343,"endHours":21.423132737891343,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.423132737891343,"endHours":22.423132737891343,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.423132737891343,"endHours":23.423132737891343,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.423132737891343,"endHours":24.423132737891343,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.423132737891343,"endHours":25.423132737891343,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.423132737891343,"endHours":26.423132737891343,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.423132737891343,"endHours":27.423132737891343,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.423132737891343,"endHours":28.423132737891343,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.423132737891343,"endHours":29.423132737891343,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.102660613823616,"eotMinutes":3.7375796796685163,"ayanamsa":25.5483}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Daśamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 May 12, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"May 12, 2121 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 05:25, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-05-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-05-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-05-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-05-12","x-default":"https://vidhyamitra.com/city/rishikesh/2121-05-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T13:02:54.472Z","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":"2026-05-22T13:02:54.472Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T13:02:54.472Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}