{"id":"vidhyamitra:city-day:rishikesh:2040-05-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-05-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-12","date_display":"May 12, 2040 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":2040,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466286.770833,"kali_year":5142,"ahargana":1877821.2708,"sun":{"sidereal_longitude":27.4333,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.8308,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.3975,"elapsed_within_tithi_degrees":0.3975},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.8308,"elapsed_within_degrees":13.1642},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.2642},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2040,"month":5,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466286.770833,"ahargana":1877821.2708,"kali_year":5142,"ayanamsa_lahiri":24.4168,"grahas":{"sun":{"sidereal_longitude":27.52766600000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":37.739666,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-0.3262},"mars":{"sidereal_longitude":99.93426599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":40.00476600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":146.86246600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":21.864566000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.61976600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":43.9924,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.9924,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"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":2040,"month":5,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466286.770833,"kali_year":5142,"ahargana":1877821.2708,"sun":{"sidereal_longitude":27.4333,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":39.8308,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.3975,"elapsed_within_tithi_degrees":0.3975},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.8308,"elapsed_within_degrees":13.1642},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":67.2642},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.326,"elongation":12.398},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.326,"opposition_distance":167.602}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":-1.324,"elongation":0.448}]},"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":13.606561920983907,"dayLengthDisplay":"13 Hours 36 Mins 24 Secs","nightLengthDisplay":"10 Hours 23 Mins 36 Secs","moonriseLocal":"06:01","moonsetLocal":"19:47","rahuKala":{"name":"Rāhu Kāla","start":"08:49","end":"10:31","startHours":8.818226525092882,"endHours":10.519046765215872,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:37","startHours":13.920687245461849,"endHours":15.621507485584836,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:25","end":"07:07","startHours":5.416586044846906,"endHours":7.117406284969895,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.591450493076485,"endHours":9.045002557109282,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.983526124887902,"endHours":6.34636777611414,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.766314941306062,"endHours":12.673419069371656,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:31","startHours":3.6023777887157187,"endHours":4.509481916781312,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.282705884764914,"endHours":5.416586044846906,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.487627325502846,"endHours":15.39473145356844,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.823147965830813,"endHours":19.22314796583081,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:35","startHours":19.023147965830812,"endHours":19.59008804587181,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.773147965830812,"endHours":20.523147965830812,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.766314941306064,"endHours":24.673419069371654,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:25","end":"07:07","startHours":5.416586044846906,"endHours":7.117406284969895,"quality":"inauspicious"},{"name":"Śubha","start":"07:07","end":"08:49","startHours":7.117406284969895,"endHours":8.818226525092882,"quality":"auspicious"},{"name":"Roga","start":"08:49","end":"10:31","startHours":8.818226525092882,"endHours":10.519046765215872,"quality":"inauspicious"},{"name":"Udveg","start":"10:31","end":"12:13","startHours":10.519046765215872,"endHours":12.219867005338859,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:55","startHours":12.219867005338859,"endHours":13.920687245461849,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:37","startHours":13.920687245461849,"endHours":15.621507485584836,"quality":"auspicious"},{"name":"Amṛta","start":"15:37","end":"17:19","startHours":15.621507485584836,"endHours":17.322327725707826,"quality":"auspicious"},{"name":"Kāla","start":"17:19","end":"19:01","startHours":17.322327725707826,"endHours":19.023147965830812,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:01","end":"20:19","startHours":19.023147965830812,"endHours":20.322327725707822,"quality":"auspicious"},{"name":"Amṛta","start":"20:19","end":"21:37","startHours":20.322327725707822,"endHours":21.621507485584836,"quality":"auspicious"},{"name":"Kāla","start":"21:37","end":"22:55","startHours":21.621507485584836,"endHours":22.92068724546185,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:13","startHours":22.92068724546185,"endHours":24.21986700533886,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:31","startHours":24.21986700533886,"endHours":25.51904676521587,"quality":"inauspicious"},{"name":"Udveg","start":"01:31","end":"02:49","startHours":25.51904676521587,"endHours":26.818226525092882,"quality":"inauspicious"},{"name":"Chala","start":"02:49","end":"04:07","startHours":26.818226525092882,"endHours":28.117406284969896,"quality":"neutral"},{"name":"Labha","start":"04:07","end":"05:25","startHours":28.117406284969896,"endHours":29.416586044846905,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.416586044846906,"endHours":6.416586044846906,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.416586044846906,"endHours":7.416586044846906,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.416586044846906,"endHours":8.416586044846905,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.416586044846905,"endHours":9.416586044846905,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.416586044846905,"endHours":10.416586044846905,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.416586044846905,"endHours":11.416586044846905,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.416586044846905,"endHours":12.416586044846905,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.416586044846905,"endHours":13.416586044846905,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.416586044846905,"endHours":14.416586044846905,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.416586044846905,"endHours":15.416586044846905,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.416586044846905,"endHours":16.416586044846905,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.416586044846905,"endHours":17.416586044846905,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.416586044846905,"endHours":18.416586044846905,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.416586044846905,"endHours":19.416586044846905,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.416586044846905,"endHours":20.416586044846905,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.416586044846905,"endHours":21.416586044846905,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.416586044846905,"endHours":22.416586044846905,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.416586044846905,"endHours":23.416586044846905,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.416586044846905,"endHours":24.416586044846905,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.416586044846905,"endHours":25.416586044846905,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.416586044846905,"endHours":26.416586044846905,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.416586044846905,"endHours":27.416586044846905,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.416586044846905,"endHours":28.416586044846905,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.416586044846905,"endHours":29.416586044846905,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":18.250975163978826,"eotMinutes":3.7375796796685163,"ayanamsa":24.4168}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Dvitīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 May 12, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"May 12, 2040 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:25, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-05-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-05-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-05-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-05-12","x-default":"https://vidhyamitra.com/city/rishikesh/2040-05-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:21:30.758Z","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":"2026-05-31T02:21:30.758Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:21:30.758Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}