{"id":"vidhyamitra:city-day:kolhapur:2015-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2015-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-05-16","date_display":"May 16, 2015 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":2015,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457158.770833,"kali_year":5117,"ahargana":1868693.2708,"sun":{"sidereal_longitude":30.7601,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":4.305,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.5449,"elapsed_within_tithi_degrees":9.5449},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.305,"elapsed_within_degrees":4.305},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.065},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2015,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457158.770833,"ahargana":1868693.2708,"kali_year":5117,"ayanamsa_lahiri":24.0677,"grahas":{"sun":{"sidereal_longitude":30.816022999999973,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":2.3780229999999847,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":-1.2894},"mars":{"sidereal_longitude":38.470123,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":48.69922300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":109.818423,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":74.575423,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":217.87262299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":167.6377,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.6377,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":2015,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457158.770833,"kali_year":5117,"ahargana":1868693.2708,"sun":{"sidereal_longitude":30.7601,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":4.305,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.5449,"elapsed_within_tithi_degrees":9.5449},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.305,"elapsed_within_degrees":4.305},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.065},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.289,"elongation":26.455},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.289,"opposition_distance":153.545}},"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":12.91361322138436,"dayLengthDisplay":"12 Hours 54 Mins 49 Secs","nightLengthDisplay":"11 Hours 05 Mins 11 Secs","moonriseLocal":"04:21","moonsetLocal":"16:50","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:52","startHours":9.259655778674118,"endHours":10.873857431347162,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:43","startHours":14.102260736693253,"endHours":15.716462389366297,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:02","end":"07:39","startHours":6.031252473328028,"endHours":7.645454126001073,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:28","startHours":9.044428891651044,"endHours":9.47488266569719,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:55","startHours":6.56931969088571,"endHours":6.913682710122626,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:55","startHours":12.057605309974063,"endHours":12.918512858066352,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:10","startHours":4.309437377143446,"endHours":5.170344925235737,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:02","startHours":4.955118038212665,"endHours":6.031252473328028,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:30","startHours":14.640327954250933,"endHours":15.501235502343224,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.744865694712388,"endHours":19.144865694712387,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:29","startHours":18.944865694712387,"endHours":19.48293291227007,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.694865694712387,"endHours":20.444865694712387,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:55","startHours":24.05760530997406,"endHours":24.918512858066354,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:02","end":"07:39","startHours":6.031252473328028,"endHours":7.645454126001073,"quality":"inauspicious"},{"name":"Śubha","start":"07:39","end":"09:16","startHours":7.645454126001073,"endHours":9.259655778674118,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:52","startHours":9.259655778674118,"endHours":10.873857431347162,"quality":"inauspicious"},{"name":"Udveg","start":"10:52","end":"12:29","startHours":10.873857431347162,"endHours":12.488059084020207,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"14:06","startHours":12.488059084020207,"endHours":14.102260736693253,"quality":"neutral"},{"name":"Labha","start":"14:06","end":"15:43","startHours":14.102260736693253,"endHours":15.716462389366297,"quality":"auspicious"},{"name":"Amṛta","start":"15:43","end":"17:20","startHours":15.716462389366297,"endHours":17.33066404203934,"quality":"auspicious"},{"name":"Kāla","start":"17:20","end":"18:57","startHours":17.33066404203934,"endHours":18.944865694712387,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:57","end":"20:20","startHours":18.944865694712387,"endHours":20.33066404203934,"quality":"auspicious"},{"name":"Amṛta","start":"20:20","end":"21:43","startHours":20.33066404203934,"endHours":21.7164623893663,"quality":"auspicious"},{"name":"Kāla","start":"21:43","end":"23:06","startHours":21.7164623893663,"endHours":23.102260736693253,"quality":"inauspicious"},{"name":"Śubha","start":"23:06","end":"00:29","startHours":23.102260736693253,"endHours":24.488059084020207,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"01:52","startHours":24.488059084020207,"endHours":25.87385743134716,"quality":"inauspicious"},{"name":"Udveg","start":"01:52","end":"03:16","startHours":25.87385743134716,"endHours":27.259655778674116,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:39","startHours":27.259655778674116,"endHours":28.645454126001074,"quality":"neutral"},{"name":"Labha","start":"04:39","end":"06:02","startHours":28.645454126001074,"endHours":30.031252473328028,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.031252473328028,"endHours":7.031252473328028,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.031252473328028,"endHours":8.031252473328028,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.031252473328028,"endHours":9.031252473328028,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.031252473328028,"endHours":10.031252473328028,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.031252473328028,"endHours":11.031252473328028,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.031252473328028,"endHours":12.031252473328028,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.031252473328028,"endHours":13.031252473328028,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.031252473328028,"endHours":14.031252473328028,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.031252473328028,"endHours":15.031252473328028,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.031252473328028,"endHours":16.031252473328028,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.031252473328028,"endHours":17.031252473328028,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.031252473328028,"endHours":18.031252473328028,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.031252473328028,"endHours":19.031252473328028,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.031252473328028,"endHours":20.031252473328028,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.031252473328028,"endHours":21.031252473328028,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.031252473328028,"endHours":22.031252473328028,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.031252473328028,"endHours":23.031252473328028,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.031252473328028,"endHours":24.031252473328028,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.031252473328028,"endHours":25.031252473328028,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.031252473328028,"endHours":26.031252473328028,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.031252473328028,"endHours":27.031252473328028,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.031252473328028,"endHours":28.031252473328028,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.031252473328028,"endHours":29.031252473328028,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.031252473328028,"endHours":30.031252473328028,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.98615792487204,"eotMinutes":3.743254958787478,"ayanamsa":24.0677}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 16, 2015 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 16, 2015 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:02, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2015-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2015-05-16","sa":"https://sa.vidhyamitra.com/city/kolhapur/2015-05-16","hi":"https://hi.vidhyamitra.com/city/kolhapur/2015-05-16","x-default":"https://vidhyamitra.com/city/kolhapur/2015-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:59:06.268Z","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":"2026-05-15T06:59:06.268Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:59:06.268Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}