{"id":"vidhyamitra:city-day:rishikesh:2040-05-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-05-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-01","date_display":"May 1, 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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466275.770833,"kali_year":5142,"ahargana":1877810.2708,"sun":{"sidereal_longitude":16.8435,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":247.5037,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":230.6602,"elapsed_within_tithi_degrees":2.6602},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5037,"elapsed_within_degrees":7.5037},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.3471},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466275.770833,"ahargana":1877810.2708,"kali_year":5142,"ayanamsa_lahiri":24.4164,"grahas":{"sun":{"sidereal_longitude":16.877087000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":249.61658699999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-1.7516},"mars":{"sidereal_longitude":94.30498699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":16.662387000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":147.239287,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":8.32488699999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":161.16348700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.5752,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.5752,"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":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466275.770833,"kali_year":5142,"ahargana":1877810.2708,"sun":{"sidereal_longitude":16.8435,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":247.5037,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":230.6602,"elapsed_within_tithi_degrees":2.6602},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":247.5037,"elapsed_within_degrees":7.5037},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.3471},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.752,"elongation":129.34},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.752,"opposition_distance":50.66}},"eclipse_window_40days":[{"offset_days":10,"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":"05:34","sunsetLocal":"18:54","solarNoonLocal":"12:14","dayLengthHours":13.34386757493473,"dayLengthDisplay":"13 Hours 20 Mins 38 Secs","nightLengthDisplay":"10 Hours 39 Mins 22 Secs","moonriseLocal":"22:40","moonsetLocal":"08:50","rahuKala":{"name":"Rāhu Kāla","start":"15:34","end":"17:14","startHours":15.569493438250902,"endHours":17.237476885117744,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:54","end":"10:34","startHours":8.897559650783538,"endHours":10.56554309765038,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:54","startHours":12.233526544517222,"endHours":13.901509991384064,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:07","startHours":8.675161857867959,"endHours":9.119957443699118,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.117587239338803,"endHours":6.47342370800373,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:41","startHours":11.788730958686063,"endHours":12.678322130348377,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:40","startHours":3.7824104137252252,"endHours":4.67200158538754,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:34","startHours":4.449603792471962,"endHours":5.561592757049856,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:21","startHours":14.457504473673009,"endHours":15.347095645335324,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.705460331984586,"endHours":19.105460331984585,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:28","startHours":18.905460331984585,"endHours":19.461454814273534,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.655460331984585,"endHours":20.405460331984585,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:41","startHours":23.78873095868606,"endHours":24.678322130348377,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:14","startHours":5.561592757049856,"endHours":7.229576203916697,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"08:54","startHours":7.229576203916697,"endHours":8.897559650783538,"quality":"inauspicious"},{"name":"Chala","start":"08:54","end":"10:34","startHours":8.897559650783538,"endHours":10.56554309765038,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:14","startHours":10.56554309765038,"endHours":12.233526544517222,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:54","startHours":12.233526544517222,"endHours":13.901509991384064,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:34","startHours":13.901509991384064,"endHours":15.569493438250902,"quality":"inauspicious"},{"name":"Śubha","start":"15:34","end":"17:14","startHours":15.569493438250902,"endHours":17.237476885117744,"quality":"auspicious"},{"name":"Roga","start":"17:14","end":"18:54","startHours":17.237476885117744,"endHours":18.905460331984585,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:54","end":"20:14","startHours":18.905460331984585,"endHours":20.237476885117744,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"21:34","startHours":20.237476885117744,"endHours":21.569493438250902,"quality":"auspicious"},{"name":"Roga","start":"21:34","end":"22:54","startHours":21.569493438250902,"endHours":22.90150999138406,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:14","startHours":22.90150999138406,"endHours":24.23352654451722,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:34","startHours":24.23352654451722,"endHours":25.565543097650377,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:54","startHours":25.565543097650377,"endHours":26.89755965078354,"quality":"auspicious"},{"name":"Amṛta","start":"02:54","end":"04:14","startHours":26.89755965078354,"endHours":28.229576203916697,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:34","startHours":28.229576203916697,"endHours":29.561592757049855,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.561592757049856,"endHours":6.561592757049856,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.561592757049856,"endHours":7.561592757049856,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.561592757049856,"endHours":8.561592757049855,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.561592757049855,"endHours":9.561592757049855,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.561592757049855,"endHours":10.561592757049855,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.561592757049855,"endHours":11.561592757049855,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.561592757049855,"endHours":12.561592757049855,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.561592757049855,"endHours":13.561592757049855,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.561592757049855,"endHours":14.561592757049855,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.561592757049855,"endHours":15.561592757049855,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.561592757049855,"endHours":16.561592757049855,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.561592757049855,"endHours":17.561592757049855,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.561592757049855,"endHours":18.561592757049855,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.561592757049855,"endHours":19.561592757049855,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.561592757049855,"endHours":20.561592757049855,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.561592757049855,"endHours":21.561592757049855,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.561592757049855,"endHours":22.561592757049855,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.561592757049855,"endHours":23.561592757049855,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.561592757049855,"endHours":24.561592757049855,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.561592757049855,"endHours":25.561592757049855,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.561592757049855,"endHours":26.561592757049855,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.561592757049855,"endHours":27.561592757049855,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.561592757049855,"endHours":28.561592757049855,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.561592757049855,"endHours":29.561592757049855,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Sushira","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":15.216680964179208,"eotMinutes":2.918007328966811,"ayanamsa":24.4164}},"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 Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Pañcamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 1, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"May 1, 2040 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 05:34, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-05-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-05-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-05-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-05-01","x-default":"https://vidhyamitra.com/city/rishikesh/2040-05-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T22:57:45.742Z","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":"2026-05-15T22:57:45.742Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T22:57:45.742Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}