{"id":"vidhyamitra:city-day:kolhapur:2033-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2033-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-07-31","date_display":"July 31, 2033 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":2033,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463809.770833,"kali_year":5135,"ahargana":1875344.2708,"sun":{"sidereal_longitude":103.2436,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":159.4034,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.1598,"elapsed_within_tithi_degrees":8.1598},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.4034,"elapsed_within_degrees":12.7368},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.647},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2033,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463809.770833,"ahargana":1875344.2708,"kali_year":5135,"ayanamsa_lahiri":24.3221,"grahas":{"sun":{"sidereal_longitude":103.85420599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":156.91140599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-1.2265},"mars":{"sidereal_longitude":245.02560600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":84.62230599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":310.642606,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":65.56640600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":79.84260599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":175.2357,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":355.2357,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"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":2033,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463809.770833,"kali_year":5135,"ahargana":1875344.2708,"sun":{"sidereal_longitude":103.2436,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":159.4034,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.1598,"elapsed_within_tithi_degrees":8.1598},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.4034,"elapsed_within_degrees":12.7368},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.647},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.227,"elongation":56.16},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.227,"opposition_distance":123.84}},"eclipse_window_40days":[]},"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":"06:13","sunsetLocal":"19:05","solarNoonLocal":"12:39","dayLengthHours":12.8786798792377,"dayLengthDisplay":"12 Hours 52 Mins 43 Secs","nightLengthDisplay":"11 Hours 07 Mins 17 Secs","moonriseLocal":"10:09","moonsetLocal":"22:13","rahuKala":{"name":"Rāhu Kāla","start":"17:29","end":"19:05","startHours":17.481141196586652,"endHours":19.090976181491364,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:39","end":"14:16","startHours":12.651636241872513,"endHours":14.261471226777227,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:52","end":"17:29","startHours":15.871306211681938,"endHours":17.481141196586652,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:39","startHours":9.217321607409128,"endHours":9.64661093671705,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:06","startHours":6.748907963888568,"endHours":7.092339427334907,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.22234691256459,"endHours":13.080925571180437,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:21","startHours":4.4951389850219705,"endHours":5.353717643637817,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:13","startHours":5.139072978983856,"endHours":6.212296302253664,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:39","startHours":14.79808288841213,"endHours":15.656661547027976,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.890976181491364,"endHours":19.290976181491363,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:38","startHours":19.090976181491364,"endHours":19.627587843126268,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.840976181491364,"endHours":20.590976181491364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.22234691256459,"endHours":25.080925571180437,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:13","end":"07:49","startHours":6.212296302253664,"endHours":7.822131287158377,"quality":"inauspicious"},{"name":"Chala","start":"07:49","end":"09:26","startHours":7.822131287158377,"endHours":9.43196627206309,"quality":"neutral"},{"name":"Labha","start":"09:26","end":"11:03","startHours":9.43196627206309,"endHours":11.041801256967801,"quality":"auspicious"},{"name":"Amṛta","start":"11:03","end":"12:39","startHours":11.041801256967801,"endHours":12.651636241872513,"quality":"auspicious"},{"name":"Kāla","start":"12:39","end":"14:16","startHours":12.651636241872513,"endHours":14.261471226777227,"quality":"inauspicious"},{"name":"Śubha","start":"14:16","end":"15:52","startHours":14.261471226777227,"endHours":15.871306211681938,"quality":"auspicious"},{"name":"Roga","start":"15:52","end":"17:29","startHours":15.871306211681938,"endHours":17.481141196586652,"quality":"inauspicious"},{"name":"Udveg","start":"17:29","end":"19:05","startHours":17.481141196586652,"endHours":19.090976181491364,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:05","end":"20:29","startHours":19.090976181491364,"endHours":20.481141196586652,"quality":"auspicious"},{"name":"Roga","start":"20:29","end":"21:52","startHours":20.481141196586652,"endHours":21.87130621168194,"quality":"inauspicious"},{"name":"Udveg","start":"21:52","end":"23:16","startHours":21.87130621168194,"endHours":23.261471226777225,"quality":"inauspicious"},{"name":"Chala","start":"23:16","end":"00:39","startHours":23.261471226777225,"endHours":24.651636241872513,"quality":"neutral"},{"name":"Labha","start":"00:39","end":"02:03","startHours":24.651636241872513,"endHours":26.0418012569678,"quality":"auspicious"},{"name":"Amṛta","start":"02:03","end":"03:26","startHours":26.0418012569678,"endHours":27.43196627206309,"quality":"auspicious"},{"name":"Kāla","start":"03:26","end":"04:49","startHours":27.43196627206309,"endHours":28.822131287158378,"quality":"inauspicious"},{"name":"Śubha","start":"04:49","end":"06:13","startHours":28.822131287158378,"endHours":30.212296302253662,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.212296302253664,"endHours":7.212296302253664,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.212296302253664,"endHours":8.212296302253664,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.212296302253664,"endHours":9.212296302253664,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.212296302253664,"endHours":10.212296302253664,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.212296302253664,"endHours":11.212296302253664,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.212296302253664,"endHours":12.212296302253664,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.212296302253664,"endHours":13.212296302253664,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.212296302253664,"endHours":14.212296302253664,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.212296302253664,"endHours":15.212296302253664,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.212296302253664,"endHours":16.212296302253662,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.212296302253662,"endHours":17.212296302253662,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.212296302253662,"endHours":18.212296302253662,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.212296302253662,"endHours":19.212296302253662,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.212296302253662,"endHours":20.212296302253662,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.212296302253662,"endHours":21.212296302253662,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.212296302253662,"endHours":22.212296302253662,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.212296302253662,"endHours":23.212296302253662,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.212296302253662,"endHours":24.212296302253662,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.212296302253662,"endHours":25.212296302253662,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.212296302253662,"endHours":26.212296302253662,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.212296302253662,"endHours":27.212296302253662,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.212296302253662,"endHours":28.212296302253662,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.212296302253662,"endHours":29.212296302253662,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.212296302253662,"endHours":30.212296302253662,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.21975760857342,"eotMinutes":-6.071374512350812,"ayanamsa":24.3221}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 July 31, 2033 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 31, 2033 CE for Kolhāpur, Maharashtra: Śukla Pañcamī, sūryodaya 06:13, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2033-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2033-07-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2033-07-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2033-07-31","x-default":"https://vidhyamitra.com/city/kolhapur/2033-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T01:32:03.032Z","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":"2026-05-15T01:32:03.032Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T01:32:03.032Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}