{"id":"vidhyamitra:city-day:kolhapur:2167-05-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2167-05-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-05-17","date_display":"May 17, 2167 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":2167,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512676.770833,"kali_year":5269,"ahargana":1924211.2708,"sun":{"sidereal_longitude":29.4843,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":2.5761,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.0918,"elapsed_within_tithi_degrees":9.0918},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.5761,"elapsed_within_degrees":2.5761},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.0604},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2167,"month":5,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512676.770833,"ahargana":1924211.2708,"kali_year":5269,"ayanamsa_lahiri":26.1911,"grahas":{"sun":{"sidereal_longitude":29.890926999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":1.7777270000000271,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-4.3763},"mars":{"sidereal_longitude":352.103327,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":27.353627000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":48.664827,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":70.74762699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":273.198627,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":106.0269,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":286.0269,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"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":2167,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512676.770833,"kali_year":5269,"ahargana":1924211.2708,"sun":{"sidereal_longitude":29.4843,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":2.5761,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.0918,"elapsed_within_tithi_degrees":9.0918},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.5761,"elapsed_within_degrees":2.5761},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.0604},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.376,"elongation":26.908},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.376,"opposition_distance":153.092}},"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":"06:02","sunsetLocal":"18:57","solarNoonLocal":"12:29","dayLengthHours":12.926734872265191,"dayLengthDisplay":"12 Hours 55 Mins 36 Secs","nightLengthDisplay":"11 Hours 04 Mins 24 Secs","moonriseLocal":"04:21","moonsetLocal":"16:52","rahuKala":{"name":"Rāhu Kāla","start":"17:20","end":"18:57","startHours":17.3359575838659,"endHours":18.951799442899045,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"14:06","startHours":12.488432006766448,"endHours":14.104273865799598,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:43","end":"17:20","startHours":15.720115724832747,"endHours":17.3359575838659,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:28","startHours":9.041302707495731,"endHours":9.472193869904572,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:55","startHours":6.563678523644903,"endHours":6.908391453571975,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:55","startHours":12.057540844357609,"endHours":12.919323169175287,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:10","startHours":4.301499920998495,"endHours":5.163282245816174,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:02","startHours":4.947836664611755,"endHours":6.0250645706338535,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:30","startHours":14.642887818810648,"endHours":15.504670143628328,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.751799442899046,"endHours":19.151799442899044,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:29","startHours":18.951799442899045,"endHours":19.490413395910096,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.701799442899045,"endHours":20.451799442899045,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:55","startHours":24.057540844357607,"endHours":24.91932316917529,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:02","end":"07:38","startHours":6.0250645706338535,"endHours":7.640906429667003,"quality":"inauspicious"},{"name":"Chala","start":"07:38","end":"09:15","startHours":7.640906429667003,"endHours":9.256748288700152,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:52","startHours":9.256748288700152,"endHours":10.8725901477333,"quality":"auspicious"},{"name":"Amṛta","start":"10:52","end":"12:29","startHours":10.8725901477333,"endHours":12.488432006766448,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"14:06","startHours":12.488432006766448,"endHours":14.104273865799598,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:43","startHours":14.104273865799598,"endHours":15.720115724832747,"quality":"auspicious"},{"name":"Roga","start":"15:43","end":"17:20","startHours":15.720115724832747,"endHours":17.3359575838659,"quality":"inauspicious"},{"name":"Udveg","start":"17:20","end":"18:57","startHours":17.3359575838659,"endHours":18.951799442899045,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:57","end":"20:20","startHours":18.951799442899045,"endHours":20.335957583865895,"quality":"auspicious"},{"name":"Roga","start":"20:20","end":"21:43","startHours":20.335957583865895,"endHours":21.72011572483275,"quality":"inauspicious"},{"name":"Udveg","start":"21:43","end":"23:06","startHours":21.72011572483275,"endHours":23.1042738657996,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:29","startHours":23.1042738657996,"endHours":24.48843200676645,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"01:52","startHours":24.48843200676645,"endHours":25.8725901477333,"quality":"auspicious"},{"name":"Amṛta","start":"01:52","end":"03:15","startHours":25.8725901477333,"endHours":27.25674828870015,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:38","startHours":27.25674828870015,"endHours":28.640906429667,"quality":"inauspicious"},{"name":"Śubha","start":"04:38","end":"06:02","startHours":28.640906429667,"endHours":30.02506457063385,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.0250645706338535,"endHours":7.0250645706338535,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.0250645706338535,"endHours":8.025064570633853,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.025064570633853,"endHours":9.025064570633853,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.025064570633853,"endHours":10.025064570633853,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.025064570633853,"endHours":11.025064570633853,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.025064570633853,"endHours":12.025064570633853,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.025064570633853,"endHours":13.025064570633853,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.025064570633853,"endHours":14.025064570633853,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.025064570633853,"endHours":15.025064570633853,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.025064570633853,"endHours":16.02506457063385,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.02506457063385,"endHours":17.02506457063385,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.02506457063385,"endHours":18.02506457063385,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.02506457063385,"endHours":19.02506457063385,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.02506457063385,"endHours":20.02506457063385,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.02506457063385,"endHours":21.02506457063385,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.02506457063385,"endHours":22.02506457063385,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.02506457063385,"endHours":23.02506457063385,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.02506457063385,"endHours":24.02506457063385,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.02506457063385,"endHours":25.02506457063385,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.02506457063385,"endHours":26.02506457063385,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.02506457063385,"endHours":27.02506457063385,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.02506457063385,"endHours":28.02506457063385,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.02506457063385,"endHours":29.02506457063385,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.02506457063385,"endHours":30.02506457063385,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","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":19.27200613873299,"eotMinutes":3.7208795940131294,"ayanamsa":26.1911}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5},{"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":"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":[{"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 17, 2167 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 17, 2167 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:02, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2167-05-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2167-05-17","sa":"https://sa.vidhyamitra.com/city/kolhapur/2167-05-17","hi":"https://hi.vidhyamitra.com/city/kolhapur/2167-05-17","x-default":"https://vidhyamitra.com/city/kolhapur/2167-05-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:40:57.768Z","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":"2026-05-31T14:40:57.768Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:40:57.768Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}