{"id":"vidhyamitra:city-day:rishikesh:2041-05-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2041-05-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-05-12","date_display":"May 12, 2041 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":2041,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466651.770833,"kali_year":5143,"ahargana":1878186.2708,"sun":{"sidereal_longitude":27.1849,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":159.2228,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.0378,"elapsed_within_tithi_degrees":0.0378},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.2228,"elapsed_within_degrees":12.5561},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.4077},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2041,"month":5,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466651.770833,"ahargana":1878186.2708,"kali_year":5143,"ayanamsa_lahiri":24.4308,"grahas":{"sun":{"sidereal_longitude":27.28012100000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":160.02002100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":3.2042},"mars":{"sidereal_longitude":353.867521,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":48.31852100000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":179.08822099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":341.767221,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":173.675121,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":24.6529,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.6529,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466651.770833,"kali_year":5143,"ahargana":1878186.2708,"sun":{"sidereal_longitude":27.1849,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":159.2228,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":132.0378,"elapsed_within_tithi_degrees":0.0378},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.2228,"elapsed_within_degrees":12.5561},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.4077},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.204,"elongation":132.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.204,"opposition_distance":47.962}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"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":13.601222998182237,"dayLengthDisplay":"13 Hours 36 Mins 04 Secs","nightLengthDisplay":"10 Hours 23 Mins 56 Secs","moonriseLocal":"15:06","moonsetLocal":"03:03","rahuKala":{"name":"Rāhu Kāla","start":"17:19","end":"19:01","startHours":17.320325629657198,"endHours":19.020478504429978,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:55","startHours":12.219867005338859,"endHours":13.920019880111639,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:37","end":"17:19","startHours":15.620172754884418,"endHours":17.320325629657198,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:03","startHours":8.592874205823595,"endHours":9.046248305763003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.985973131171999,"endHours":6.348672411123525,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.766492905399451,"endHours":12.673241105278267,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:31","startHours":3.605759106490108,"endHours":4.512507306368923,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.285820256399219,"endHours":5.419255506247739,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.486737505035897,"endHours":15.393485704914713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.82047850442998,"endHours":19.220478504429977,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.020478504429978,"endHours":19.587196129354236,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.770478504429978,"endHours":20.520478504429978,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.766492905399453,"endHours":24.673241105278265,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:25","end":"07:07","startHours":5.419255506247739,"endHours":7.119408381020519,"quality":"inauspicious"},{"name":"Chala","start":"07:07","end":"08:49","startHours":7.119408381020519,"endHours":8.8195612557933,"quality":"neutral"},{"name":"Labha","start":"08:49","end":"10:31","startHours":8.8195612557933,"endHours":10.51971413056608,"quality":"auspicious"},{"name":"Amṛta","start":"10:31","end":"12:13","startHours":10.51971413056608,"endHours":12.219867005338859,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:55","startHours":12.219867005338859,"endHours":13.920019880111639,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:37","startHours":13.920019880111639,"endHours":15.620172754884418,"quality":"auspicious"},{"name":"Roga","start":"15:37","end":"17:19","startHours":15.620172754884418,"endHours":17.320325629657198,"quality":"inauspicious"},{"name":"Udveg","start":"17:19","end":"19:01","startHours":17.320325629657198,"endHours":19.020478504429978,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:01","end":"20:19","startHours":19.020478504429978,"endHours":20.320325629657198,"quality":"auspicious"},{"name":"Roga","start":"20:19","end":"21:37","startHours":20.320325629657198,"endHours":21.62017275488442,"quality":"inauspicious"},{"name":"Udveg","start":"21:37","end":"22:55","startHours":21.62017275488442,"endHours":22.92001988011164,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:13","startHours":22.92001988011164,"endHours":24.21986700533886,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:31","startHours":24.21986700533886,"endHours":25.51971413056608,"quality":"auspicious"},{"name":"Amṛta","start":"01:31","end":"02:49","startHours":25.51971413056608,"endHours":26.8195612557933,"quality":"auspicious"},{"name":"Kāla","start":"02:49","end":"04:07","startHours":26.8195612557933,"endHours":28.11940838102052,"quality":"inauspicious"},{"name":"Śubha","start":"04:07","end":"05:25","startHours":28.11940838102052,"endHours":29.41925550624774,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.419255506247739,"endHours":6.419255506247739,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.419255506247739,"endHours":7.419255506247739,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.419255506247739,"endHours":8.41925550624774,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.41925550624774,"endHours":9.41925550624774,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.41925550624774,"endHours":10.41925550624774,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.41925550624774,"endHours":11.41925550624774,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.41925550624774,"endHours":12.41925550624774,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.41925550624774,"endHours":13.41925550624774,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.41925550624774,"endHours":14.41925550624774,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.41925550624774,"endHours":15.41925550624774,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.41925550624774,"endHours":16.41925550624774,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.41925550624774,"endHours":17.41925550624774,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.41925550624774,"endHours":18.41925550624774,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.41925550624774,"endHours":19.41925550624774,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.41925550624774,"endHours":20.41925550624774,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.41925550624774,"endHours":21.41925550624774,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.41925550624774,"endHours":22.41925550624774,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.41925550624774,"endHours":23.41925550624774,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.41925550624774,"endHours":24.41925550624774,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.41925550624774,"endHours":25.41925550624774,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.41925550624774,"endHours":26.41925550624774,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.41925550624774,"endHours":27.41925550624774,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.41925550624774,"endHours":28.41925550624774,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.41925550624774,"endHours":29.41925550624774,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.19053707087962,"eotMinutes":3.7375796796685163,"ayanamsa":24.4308}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvādaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2041 CE · Ṛṣikeśa · Vidhyamitra","description":"May 12, 2041 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 05:25, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2041-05-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2041-05-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2041-05-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2041-05-12","x-default":"https://vidhyamitra.com/city/rishikesh/2041-05-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:18:19.088Z","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":"2026-05-31T03:18:19.088Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:18:19.088Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}