{"id":"vidhyamitra:city-day:kolhapur:2040-05-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2040-05-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-09","date_display":"May 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466283.770833,"kali_year":5142,"ahargana":1877818.2708,"sun":{"sidereal_longitude":24.5515,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":0.4075,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.856,"elapsed_within_tithi_degrees":11.856},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.4075,"elapsed_within_degrees":0.4075},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.959},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466283.770833,"ahargana":1877818.2708,"kali_year":5142,"ayanamsa_lahiri":24.4167,"grahas":{"sun":{"sidereal_longitude":24.628281000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":0.02698099999997794,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-3.1098},"mars":{"sidereal_longitude":98.375181,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":33.871981000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":146.92918099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":18.173280999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":160.751581,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.1513,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.1513,"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":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466283.770833,"kali_year":5142,"ahargana":1877818.2708,"sun":{"sidereal_longitude":24.5515,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":0.4075,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.856,"elapsed_within_tithi_degrees":11.856},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.4075,"elapsed_within_degrees":0.4075},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.959},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.11,"elongation":24.144},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.11,"opposition_distance":155.856}},"eclipse_window_40days":[{"offset_days":2,"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":"06:04","sunsetLocal":"18:55","solarNoonLocal":"12:29","dayLengthHours":12.845301502576547,"dayLengthDisplay":"12 Hours 50 Mins 43 Secs","nightLengthDisplay":"11 Hours 09 Mins 17 Secs","moonriseLocal":"04:37","moonsetLocal":"17:05","rahuKala":{"name":"Rāhu Kāla","start":"12:29","end":"14:06","startHours":12.489922358927565,"endHours":14.095585046749633,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:40","end":"09:17","startHours":7.67293429546136,"endHours":9.278596983283428,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:29","startHours":10.884259671105497,"endHours":12.489922358927565,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:30","startHours":9.064508624907152,"endHours":9.492685341659705,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:57","startHours":6.602492503579981,"endHours":6.945033876982023,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:55","startHours":12.061745642175014,"endHours":12.918099075680116,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:13","startHours":4.354564740629085,"endHours":5.210918174134188,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:04","startHours":4.996829815757913,"endHours":6.067271607639292,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:29","startHours":14.630805942690323,"endHours":15.487159376195425,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.71257311021584,"endHours":19.112573110215838,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:27","startHours":18.91257311021584,"endHours":19.447794006156528,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.66257311021584,"endHours":20.41257311021584,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:55","startHours":24.061745642175012,"endHours":24.918099075680118,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:04","end":"07:40","startHours":6.067271607639292,"endHours":7.67293429546136,"quality":"auspicious"},{"name":"Amṛta","start":"07:40","end":"09:17","startHours":7.67293429546136,"endHours":9.278596983283428,"quality":"auspicious"},{"name":"Kāla","start":"09:17","end":"10:53","startHours":9.278596983283428,"endHours":10.884259671105497,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:29","startHours":10.884259671105497,"endHours":12.489922358927565,"quality":"auspicious"},{"name":"Roga","start":"12:29","end":"14:06","startHours":12.489922358927565,"endHours":14.095585046749633,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:42","startHours":14.095585046749633,"endHours":15.701247734571702,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:18","startHours":15.701247734571702,"endHours":17.30691042239377,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:55","startHours":17.30691042239377,"endHours":18.91257311021584,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:18","startHours":18.91257311021584,"endHours":20.30691042239377,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:42","startHours":20.30691042239377,"endHours":21.7012477345717,"quality":"neutral"},{"name":"Labha","start":"21:42","end":"23:06","startHours":21.7012477345717,"endHours":23.095585046749633,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:29","startHours":23.095585046749633,"endHours":24.489922358927565,"quality":"auspicious"},{"name":"Kāla","start":"00:29","end":"01:53","startHours":24.489922358927565,"endHours":25.884259671105497,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:17","startHours":25.884259671105497,"endHours":27.27859698328343,"quality":"auspicious"},{"name":"Roga","start":"03:17","end":"04:40","startHours":27.27859698328343,"endHours":28.67293429546136,"quality":"inauspicious"},{"name":"Udveg","start":"04:40","end":"06:04","startHours":28.67293429546136,"endHours":30.06727160763929,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.067271607639292,"endHours":7.067271607639292,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.067271607639292,"endHours":8.067271607639292,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.067271607639292,"endHours":9.067271607639292,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.067271607639292,"endHours":10.067271607639292,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.067271607639292,"endHours":11.067271607639292,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.067271607639292,"endHours":12.067271607639292,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.067271607639292,"endHours":13.067271607639292,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.067271607639292,"endHours":14.067271607639292,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.067271607639292,"endHours":15.067271607639292,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.067271607639292,"endHours":16.06727160763929,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.06727160763929,"endHours":17.06727160763929,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.06727160763929,"endHours":18.06727160763929,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.06727160763929,"endHours":19.06727160763929,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.06727160763929,"endHours":20.06727160763929,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.06727160763929,"endHours":21.06727160763929,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.06727160763929,"endHours":22.06727160763929,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.06727160763929,"endHours":23.06727160763929,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.06727160763929,"endHours":24.06727160763929,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.06727160763929,"endHours":25.06727160763929,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.06727160763929,"endHours":26.06727160763929,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.06727160763929,"endHours":27.06727160763929,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.06727160763929,"endHours":28.06727160763929,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.06727160763929,"endHours":29.06727160763929,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.06727160763929,"endHours":30.06727160763929,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","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":17.48026353885413,"eotMinutes":3.631458464346112,"ayanamsa":24.4167}},"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 Trayodaśī · 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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 9, 2040 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 9, 2040 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:04, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2040-05-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2040-05-09","sa":"https://sa.vidhyamitra.com/city/kolhapur/2040-05-09","hi":"https://hi.vidhyamitra.com/city/kolhapur/2040-05-09","x-default":"https://vidhyamitra.com/city/kolhapur/2040-05-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T18:19:01.213Z","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":"2026-05-15T18:19:01.213Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T18:19:01.213Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}