{"id":"vidhyamitra:city-day:kolhapur:2040-05-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2040-05-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-02","date_display":"May 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466276.770833,"kali_year":5142,"ahargana":1877811.2708,"sun":{"sidereal_longitude":17.8089,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":261.9874,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.1785,"elapsed_within_tithi_degrees":4.1785},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.9874,"elapsed_within_degrees":8.6541},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.7963},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466276.770833,"ahargana":1877811.2708,"kali_year":5142,"ayanamsa_lahiri":24.4164,"grahas":{"sun":{"sidereal_longitude":17.847647999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":264.05914800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.7355},"mars":{"sidereal_longitude":94.80634800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":18.82614799999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":147.19014800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":9.556348000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":161.10744799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.5222,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.5222,"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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466276.770833,"kali_year":5142,"ahargana":1877811.2708,"sun":{"sidereal_longitude":17.8089,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":261.9874,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":244.1785,"elapsed_within_tithi_degrees":4.1785},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.9874,"elapsed_within_degrees":8.6541},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.7963},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.735,"elongation":115.822},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.735,"opposition_distance":64.178}},"eclipse_window_40days":[{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":-1.324,"elongation":0.448}]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:07","sunsetLocal":"18:53","solarNoonLocal":"12:30","dayLengthHours":12.758053913626156,"dayLengthDisplay":"12 Hours 45 Mins 29 Secs","nightLengthDisplay":"11 Hours 14 Mins 31 Secs","moonriseLocal":"23:20","moonsetLocal":"10:29","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"14:06","startHours":12.499762006880658,"endHours":14.094518746083928,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:43","end":"09:19","startHours":7.715491789270849,"endHours":9.31024852847412,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:54","end":"12:30","startHours":10.905005267677389,"endHours":12.499762006880658,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:31","startHours":9.09761429658035,"endHours":9.522882760367887,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"07:00","startHours":6.652320629802002,"endHours":6.992535400832033,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:56","startHours":12.07449354309312,"endHours":12.925030470668197,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:16","startHours":4.419661194917425,"endHours":5.270198122492502,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:07","startHours":5.057563890598733,"endHours":6.120735050067579,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:29","startHours":14.62610432581835,"endHours":15.476641253393426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.678788963693737,"endHours":19.078788963693736,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.878788963693736,"endHours":19.41037454342816,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.628788963693736,"endHours":20.378788963693736,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:56","startHours":24.07449354309312,"endHours":24.925030470668197,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:07","end":"07:43","startHours":6.120735050067579,"endHours":7.715491789270849,"quality":"auspicious"},{"name":"Amṛta","start":"07:43","end":"09:19","startHours":7.715491789270849,"endHours":9.31024852847412,"quality":"auspicious"},{"name":"Kāla","start":"09:19","end":"10:54","startHours":9.31024852847412,"endHours":10.905005267677389,"quality":"inauspicious"},{"name":"Śubha","start":"10:54","end":"12:30","startHours":10.905005267677389,"endHours":12.499762006880658,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"14:06","startHours":12.499762006880658,"endHours":14.094518746083928,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:41","startHours":14.094518746083928,"endHours":15.689275485287197,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:17","startHours":15.689275485287197,"endHours":17.284032224490467,"quality":"neutral"},{"name":"Labha","start":"17:17","end":"18:53","startHours":17.284032224490467,"endHours":18.878788963693736,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:17","startHours":18.878788963693736,"endHours":20.284032224490467,"quality":"inauspicious"},{"name":"Chala","start":"20:17","end":"21:41","startHours":20.284032224490467,"endHours":21.689275485287197,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:06","startHours":21.689275485287197,"endHours":23.094518746083928,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:30","startHours":23.094518746083928,"endHours":24.49976200688066,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"01:54","startHours":24.49976200688066,"endHours":25.90500526767739,"quality":"inauspicious"},{"name":"Śubha","start":"01:54","end":"03:19","startHours":25.90500526767739,"endHours":27.31024852847412,"quality":"auspicious"},{"name":"Roga","start":"03:19","end":"04:43","startHours":27.31024852847412,"endHours":28.71549178927085,"quality":"inauspicious"},{"name":"Udveg","start":"04:43","end":"06:07","startHours":28.71549178927085,"endHours":30.12073505006758,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:07","end":"07:07","startHours":6.120735050067579,"endHours":7.120735050067579,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:07","end":"08:07","startHours":7.120735050067579,"endHours":8.12073505006758,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:07","end":"09:07","startHours":8.12073505006758,"endHours":9.12073505006758,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:07","end":"10:07","startHours":9.12073505006758,"endHours":10.12073505006758,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:07","end":"11:07","startHours":10.12073505006758,"endHours":11.12073505006758,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:07","end":"12:07","startHours":11.12073505006758,"endHours":12.12073505006758,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:07","end":"13:07","startHours":12.12073505006758,"endHours":13.12073505006758,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:07","end":"14:07","startHours":13.12073505006758,"endHours":14.12073505006758,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:07","end":"15:07","startHours":14.12073505006758,"endHours":15.12073505006758,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:07","end":"16:07","startHours":15.12073505006758,"endHours":16.12073505006758,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:07","end":"17:07","startHours":16.12073505006758,"endHours":17.12073505006758,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:07","end":"18:07","startHours":17.12073505006758,"endHours":18.12073505006758,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:07","end":"19:07","startHours":18.12073505006758,"endHours":19.12073505006758,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:07","end":"20:07","startHours":19.12073505006758,"endHours":20.12073505006758,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:07","end":"21:07","startHours":20.12073505006758,"endHours":21.12073505006758,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:07","end":"22:07","startHours":21.12073505006758,"endHours":22.12073505006758,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:07","end":"23:07","startHours":22.12073505006758,"endHours":23.12073505006758,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:07","end":"00:07","startHours":23.12073505006758,"endHours":24.12073505006758,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:07","end":"01:07","startHours":24.12073505006758,"endHours":25.12073505006758,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:07","end":"02:07","startHours":25.12073505006758,"endHours":26.12073505006758,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:07","end":"03:07","startHours":26.12073505006758,"endHours":27.12073505006758,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:07","end":"04:07","startHours":27.12073505006758,"endHours":28.12073505006758,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:07","end":"05:07","startHours":28.12073505006758,"endHours":29.12073505006758,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:07","end":"06:07","startHours":29.12073505006758,"endHours":30.12073505006758,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"South-West","anandadiYoga":{"name":"Prajāpati","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":15.515216240947062,"eotMinutes":3.041079587160539,"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","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 Kṛṣṇa Ṣaṣṭhī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 2, 2040 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 2, 2040 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:07, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2040-05-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2040-05-02","sa":"https://sa.vidhyamitra.com/city/kolhapur/2040-05-02","hi":"https://hi.vidhyamitra.com/city/kolhapur/2040-05-02","x-default":"https://vidhyamitra.com/city/kolhapur/2040-05-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T08:40:50.494Z","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":"2026-06-02T08:40:50.494Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:40:50.494Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}