{"id":"vidhyamitra:city-day:cuttack:2040-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/cuttack/2040-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-15","date_display":"May 15, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466289.770833,"kali_year":5142,"ahargana":1877824.2708,"sun":{"sidereal_longitude":30.3107,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":77.033,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.7223,"elapsed_within_tithi_degrees":10.7223},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.033,"elapsed_within_degrees":10.3663},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.3437},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466289.770833,"ahargana":1877824.2708,"kali_year":5142,"ayanamsa_lahiri":24.4169,"grahas":{"sun":{"sidereal_longitude":30.423051999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":73.78275200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":2.4622},"mars":{"sidereal_longitude":101.50965200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":45.782352,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":146.82305200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":25.554851999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":160.50105200000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":43.8334,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.8334,"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466289.770833,"kali_year":5142,"ahargana":1877824.2708,"sun":{"sidereal_longitude":30.3107,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":77.033,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.7223,"elapsed_within_tithi_degrees":10.7223},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.033,"elapsed_within_degrees":10.3663},"yoga":{"number":9,"name":"Śūla","sum_longitude":107.3437},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.462,"elongation":46.722},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.462,"opposition_distance":133.278}},"eclipse_window_40days":[{"offset_days":-4,"type":"solar","occurs":true,"moon_latitude":-1.324,"elongation":0.448}]},"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"sunriseLocal":"05:09","sunsetLocal":"18:16","solarNoonLocal":"11:43","dayLengthHours":13.10942072508146,"dayLengthDisplay":"13 Hours 06 Mins 34 Secs","nightLengthDisplay":"10 Hours 53 Mins 26 Secs","moonriseLocal":"07:57","moonsetLocal":"21:16","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:38","startHours":14.989231832338263,"endHours":16.627909422973445,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:26","end":"10:04","startHours":8.434521469797534,"endHours":10.073199060432717,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:43","end":"13:21","startHours":11.7118766510679,"endHours":13.350554241703083,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:39","startHours":8.21603112437951,"endHours":8.653011815215558,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:42","end":"06:03","startHours":5.70339215207223,"endHours":6.052976704741069,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:16","end":"12:09","startHours":11.27489596023185,"endHours":12.148857341903947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:17","startHours":3.4092435251829745,"endHours":4.283204906855072,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:04","end":"05:09","startHours":4.0647145614370475,"endHours":5.157166288527169,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:46","startHours":13.896780105248144,"endHours":14.770741486920242,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.06658701360863,"endHours":18.466587013608628,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:49","startHours":18.26658701360863,"endHours":18.81281287715369,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.01658701360863,"endHours":19.76658701360863,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:16","end":"00:09","startHours":23.27489596023185,"endHours":24.148857341903945,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:09","end":"06:48","startHours":5.157166288527169,"endHours":6.795843879162351,"quality":"inauspicious"},{"name":"Udveg","start":"06:48","end":"08:26","startHours":6.795843879162351,"endHours":8.434521469797534,"quality":"inauspicious"},{"name":"Chala","start":"08:26","end":"10:04","startHours":8.434521469797534,"endHours":10.073199060432717,"quality":"neutral"},{"name":"Labha","start":"10:04","end":"11:43","startHours":10.073199060432717,"endHours":11.7118766510679,"quality":"auspicious"},{"name":"Amṛta","start":"11:43","end":"13:21","startHours":11.7118766510679,"endHours":13.350554241703083,"quality":"auspicious"},{"name":"Kāla","start":"13:21","end":"14:59","startHours":13.350554241703083,"endHours":14.989231832338263,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:38","startHours":14.989231832338263,"endHours":16.627909422973445,"quality":"auspicious"},{"name":"Roga","start":"16:38","end":"18:16","startHours":16.627909422973445,"endHours":18.26658701360863,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:16","end":"19:38","startHours":18.26658701360863,"endHours":19.627909422973445,"quality":"inauspicious"},{"name":"Śubha","start":"19:38","end":"20:59","startHours":19.627909422973445,"endHours":20.989231832338263,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:21","startHours":20.989231832338263,"endHours":22.35055424170308,"quality":"inauspicious"},{"name":"Udveg","start":"22:21","end":"23:43","startHours":22.35055424170308,"endHours":23.711876651067897,"quality":"inauspicious"},{"name":"Chala","start":"23:43","end":"01:04","startHours":23.711876651067897,"endHours":25.073199060432714,"quality":"neutral"},{"name":"Labha","start":"01:04","end":"02:26","startHours":25.073199060432714,"endHours":26.434521469797534,"quality":"auspicious"},{"name":"Amṛta","start":"02:26","end":"03:48","startHours":26.434521469797534,"endHours":27.79584387916235,"quality":"auspicious"},{"name":"Kāla","start":"03:48","end":"05:09","startHours":27.79584387916235,"endHours":29.15716628852717,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:09","end":"06:09","startHours":5.157166288527169,"endHours":6.157166288527169,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:09","end":"07:09","startHours":6.157166288527169,"endHours":7.157166288527169,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:09","end":"08:09","startHours":7.157166288527169,"endHours":8.157166288527169,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:09","end":"09:09","startHours":8.157166288527169,"endHours":9.157166288527169,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:09","end":"10:09","startHours":9.157166288527169,"endHours":10.157166288527169,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:09","end":"11:09","startHours":10.157166288527169,"endHours":11.157166288527169,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:09","end":"12:09","startHours":11.157166288527169,"endHours":12.157166288527169,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:09","end":"13:09","startHours":12.157166288527169,"endHours":13.157166288527169,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:09","end":"14:09","startHours":13.157166288527169,"endHours":14.157166288527169,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:09","end":"15:09","startHours":14.157166288527169,"endHours":15.157166288527169,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:09","end":"16:09","startHours":15.157166288527169,"endHours":16.15716628852717,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:09","end":"17:09","startHours":16.15716628852717,"endHours":17.15716628852717,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:09","end":"18:09","startHours":17.15716628852717,"endHours":18.15716628852717,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:09","end":"19:09","startHours":18.15716628852717,"endHours":19.15716628852717,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:09","end":"20:09","startHours":19.15716628852717,"endHours":20.15716628852717,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:09","end":"21:09","startHours":20.15716628852717,"endHours":21.15716628852717,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:09","end":"22:09","startHours":21.15716628852717,"endHours":22.15716628852717,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:09","end":"23:09","startHours":22.15716628852717,"endHours":23.15716628852717,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:09","end":"00:09","startHours":23.15716628852717,"endHours":24.15716628852717,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:09","end":"01:09","startHours":24.15716628852717,"endHours":25.15716628852717,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:09","end":"02:09","startHours":25.15716628852717,"endHours":26.15716628852717,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:09","end":"03:09","startHours":26.15716628852717,"endHours":27.15716628852717,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:09","end":"04:09","startHours":27.15716628852717,"endHours":28.15716628852717,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:09","end":"05:09","startHours":28.15716628852717,"endHours":29.15716628852717,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.975561957590287,"eotMinutes":3.7562009359260493,"ayanamsa":24.4169}},"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":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Vināyaka Caturthī (monthly) is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"cuttack"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 15, 2040 CE · Cuttack, Odisha · Vidhyamitra","description":"May 15, 2040 CE for Cuttack, Odisha: Śukla Caturthī, sūryodaya 05:09, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/cuttack/2040-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/cuttack/2040-05-15","sa":"https://sa.vidhyamitra.com/city/cuttack/2040-05-15","hi":"https://hi.vidhyamitra.com/city/cuttack/2040-05-15","x-default":"https://vidhyamitra.com/city/cuttack/2040-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:46:53.578Z","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":"2026-08-10T09:46:53.578Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:46:53.578Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}