{"id":"vidhyamitra:city-day:berlin:2137-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2137-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-07-15","date_display":"July 15, 2137 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":2137,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501778.770833,"kali_year":5239,"ahargana":1913313.2708,"sun":{"sidereal_longitude":86.2575,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":50.3849,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.1274,"elapsed_within_tithi_degrees":0.1274},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.3849,"elapsed_within_degrees":10.3849},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.6424},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2137,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501778.770833,"ahargana":1913313.2708,"kali_year":5239,"ayanamsa_lahiri":25.7743,"grahas":{"sun":{"sidereal_longitude":87.004411,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":52.409311,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":4.4935},"mars":{"sidereal_longitude":48.20321100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":105.21941099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":209.29351100000008,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":49.99011100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":264.007211,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":323.4554,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":143.4554,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2137,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501778.770833,"kali_year":5239,"ahargana":1913313.2708,"sun":{"sidereal_longitude":86.2575,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":50.3849,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.1274,"elapsed_within_tithi_degrees":0.1274},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.3849,"elapsed_within_degrees":10.3849},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.6424},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.494,"elongation":35.873},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.494,"opposition_distance":144.127}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:01","sunsetLocal":"20:23","solarNoonLocal":"12:12","dayLengthHours":16.355533923182627,"dayLengthDisplay":"16 Hours 21 Mins 20 Secs","nightLengthDisplay":"7 Hours 38 Mins 40 Secs","moonriseLocal":"01:35","moonsetLocal":"18:12","rahuKala":{"name":"Rāhu Kāla","start":"06:04","end":"08:07","startHours":6.0660682972461,"endHours":8.110510037643929,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:09","end":"12:12","startHours":10.154951778041756,"endHours":12.199393518439585,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:15","end":"16:17","startHours":14.243835258837414,"endHours":16.288276999235244,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:50","end":"08:23","startHours":7.837917805590885,"endHours":8.383102269696973,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:42","end":"05:08","startHours":4.703107136980881,"endHours":5.139254708265751,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.654209054333498,"endHours":12.744577982545673,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:50","end":"02:56","startHours":1.8408887004239216,"endHours":2.9312576286360965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:40","end":"04:01","startHours":2.6586653965830527,"endHours":4.021626556848272,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"16:01","startHours":14.925315838970024,"endHours":16.015684767182197,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:11","end":"20:35","startHours":20.1771604800309,"endHours":20.577160480030898,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:23","end":"21:04","startHours":20.3771604800309,"endHours":21.05864106016351,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:08","end":"21:53","startHours":20.1271604800309,"endHours":21.8771604800309,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.6542090543335,"endHours":24.74457798254567,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:01","end":"06:04","startHours":4.021626556848272,"endHours":6.0660682972461,"quality":"auspicious"},{"name":"Kāla","start":"06:04","end":"08:07","startHours":6.0660682972461,"endHours":8.110510037643929,"quality":"inauspicious"},{"name":"Śubha","start":"08:07","end":"10:09","startHours":8.110510037643929,"endHours":10.154951778041756,"quality":"auspicious"},{"name":"Roga","start":"10:09","end":"12:12","startHours":10.154951778041756,"endHours":12.199393518439585,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"14:15","startHours":12.199393518439585,"endHours":14.243835258837414,"quality":"inauspicious"},{"name":"Chala","start":"14:15","end":"16:17","startHours":14.243835258837414,"endHours":16.288276999235244,"quality":"neutral"},{"name":"Labha","start":"16:17","end":"18:20","startHours":16.288276999235244,"endHours":18.33271873963307,"quality":"auspicious"},{"name":"Amṛta","start":"18:20","end":"20:23","startHours":18.33271873963307,"endHours":20.3771604800309,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"20:23","end":"21:20","startHours":20.3771604800309,"endHours":21.33271873963307,"quality":"neutral"},{"name":"Labha","start":"21:20","end":"22:17","startHours":21.33271873963307,"endHours":22.288276999235244,"quality":"auspicious"},{"name":"Amṛta","start":"22:17","end":"23:15","startHours":22.288276999235244,"endHours":23.243835258837414,"quality":"auspicious"},{"name":"Kāla","start":"23:15","end":"00:12","startHours":23.243835258837414,"endHours":24.199393518439585,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:09","startHours":24.199393518439585,"endHours":25.154951778041756,"quality":"auspicious"},{"name":"Roga","start":"01:09","end":"02:07","startHours":25.154951778041756,"endHours":26.110510037643927,"quality":"inauspicious"},{"name":"Udveg","start":"02:07","end":"03:04","startHours":26.110510037643927,"endHours":27.0660682972461,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:01","startHours":27.0660682972461,"endHours":28.021626556848272,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:01","end":"05:01","startHours":4.021626556848272,"endHours":5.021626556848272,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:01","end":"06:01","startHours":5.021626556848272,"endHours":6.021626556848272,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:01","end":"07:01","startHours":6.021626556848272,"endHours":7.021626556848272,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:01","end":"08:01","startHours":7.021626556848272,"endHours":8.021626556848272,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:01","end":"09:01","startHours":8.021626556848272,"endHours":9.021626556848272,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:01","end":"10:01","startHours":9.021626556848272,"endHours":10.021626556848272,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:01","end":"11:01","startHours":10.021626556848272,"endHours":11.021626556848272,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:01","end":"12:01","startHours":11.021626556848272,"endHours":12.021626556848272,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:01","end":"13:01","startHours":12.021626556848272,"endHours":13.021626556848272,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:01","end":"14:01","startHours":13.021626556848272,"endHours":14.021626556848272,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:01","end":"15:01","startHours":14.021626556848272,"endHours":15.021626556848272,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:01","end":"16:01","startHours":15.021626556848272,"endHours":16.021626556848272,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:01","end":"17:01","startHours":16.021626556848272,"endHours":17.021626556848272,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:01","end":"18:01","startHours":17.021626556848272,"endHours":18.021626556848272,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:01","end":"19:01","startHours":18.021626556848272,"endHours":19.021626556848272,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:01","end":"20:01","startHours":19.021626556848272,"endHours":20.021626556848272,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:01","end":"21:01","startHours":20.021626556848272,"endHours":21.021626556848272,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:01","end":"22:01","startHours":21.021626556848272,"endHours":22.021626556848272,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:01","end":"23:01","startHours":22.021626556848272,"endHours":23.021626556848272,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:01","end":"00:01","startHours":23.021626556848272,"endHours":24.021626556848272,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:01","end":"01:01","startHours":24.021626556848272,"endHours":25.021626556848272,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:01","end":"02:01","startHours":25.021626556848272,"endHours":26.021626556848272,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:01","end":"03:01","startHours":26.021626556848272,"endHours":27.021626556848272,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:01","end":"04:01","startHours":27.021626556848272,"endHours":28.021626556848272,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.512988951386156,"eotMinutes":-5.583611106375076,"ayanamsa":25.7743}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha (Adhika) Kṛṣṇa Trayodaśī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 15, 2137 CE · Berlin, Germany · Vidhyamitra","description":"July 15, 2137 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 04:01, sūryāsta 20:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2137-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2137-07-15","sa":"https://sa.vidhyamitra.com/city/berlin/2137-07-15","hi":"https://hi.vidhyamitra.com/city/berlin/2137-07-15","x-default":"https://vidhyamitra.com/city/berlin/2137-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:19:51.805Z","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":"2026-06-02T06:19:51.805Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:19:51.805Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}